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All Textbook Solutions for Precalculus

11PRE 12PRE 13PRE 14PRE 15PRE 16PRE 17PRE For Exercises 9-18, graph the functions by plotting points or by using a graphing utility. Explain how the graph are related. a.fx=x3b.gx=x3 Use translations to graph the given functions. a.gx=x2b.hx=x+3 Graph the function defined by gx=x+2.Use translations to graph the function defined by qx=x+25.Graph the functions. a.fx=x2b.gx=3x2c.hx=13x2 The graph of y=fx is shown. Graph. a.y=f2xb.y=f12x 6SP 7SP Use transformations to graph the function defined by rx=x+13.Let c represent a positive real number. The graph of y=fx+c is the graph of y=fx shifted (up/down/left/right) c units.2PE Let c represent a positive real number. The graph of y=fxc is the graph of y=fx shifted (up/down/left/right) c units.The graph of y=3fx is the graph of y=fx with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).5PE The graph of y=f13x is the graph of y=fx with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).The graph of y=13fx is the graph of y=fx with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).The graph of y=fx is the graph of y=fx reflected across the -axis.For Exercises 9-14, from memory match the equation with its graph. fx=x For Exercises 9-14, from memory match the equation with its graph. fx=x3 11PE For Exercises 9-14, from memory match the equation with its graph. fx=x2 13PE For Exercises 9-14, from memory match the equation with its graph. fx=1x For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) fx=x+1 For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) gx=x+2 For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) kx=x32 For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) hx=1x2 19PE For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) mx=x+1 21PE For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) tx=x23 For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) ax=x+13 For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) bx=x2+4 For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) cx=1x3+1 26PE For Exercises 27-32, use transformations to graph the functions (See Example 4) mx=4x3 For Exercises 27-32, use transformations to graph the functions (See Example 4) nx=3x For Exercises 27-32, use transformations to graph the functions (See Example 4) rx=12x2 For Exercises 27-32, use transformations to graph the functions (See Example 4) tx=13x For Exercises 27-32, use transformations to graph the functions (See Example 4) px=2x For Exercises 27-32, use transformations to graph the functions (See Example 4) qx=2x For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=13fx For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=12gx For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=3fx For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=2gx For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=f3x For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=g2x For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=f13x For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5) y=g12x For Exercises 41-46, graph the function by applying an appropriate reflection. fx=1x For Exercises 41-46, graph the function by applying an appropriate reflection. gx=x For Exercises 41-46, graph the function by applying an appropriate reflection. hx=x3 For Exercises 41-46, graph the function by applying an appropriate reflection. kx=x For Exercises 41-46, graph the function by applying an appropriate reflection. px=x3 For Exercises 41-46, graph the function by applying an appropriate reflection. qx=x3 For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=fx For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=gx For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=fx For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=gx For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=fx For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=gx For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=fx For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=gx For Exercises 55-62, a function g is given. Identify the parent function from Table 1-2 on page 183. Then use the steps for graphing multiple transformations of function on page 190 to list, in order, the transformations applied to the parent function to obtain the graph of g . gx=31+x2 56PE For Exercises 55-62, a function g is given. Identify the parent function from Table 1-2 on page 183. Then use the steps for graphing multiple transformations of function on page 190 to list, in order, the transformations applied to the parent function to obtain the graph of g . gx=13x2.12+7.9 58PE 59PE For Exercises 55-62, a function g is given. Identify the parent function from Table 1-2 on page 183. Then use the steps for graphing multiple transformations of function on page 190 to list, in order, the transformations applied to the parent function to obtain the graph of g . gx=312x4 61PE 62PE For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) vx=x+22+1 For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) ux=x122 65PE 66PE For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) px=12x12 68PE 69PE For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) sx=x2 71PE For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) gx=x4 For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) nx=12x3 74PE For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) fx=12x32+8 For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) gx=13x+22+3 77PE 78PE For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=fx1+2.For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=fx+12.For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=2fx23.For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=2fx+24.For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=3f2x.84PE For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=fx2.86PE For Exercises 87-90, write a function based on the given parent function and transformations in the given order. Parentfunction:y=x31.Shift4.5unitstotheleft.2.Reflectacrossthey-axis.3.Shiftupward2.1units.For Exercises 87-90, write a function based on the given parent function and transformations in the given order. Parentfunction:y=x31.Shift1unittotheleft.2.Stretchhorizontallybyafactorof4.3.Reflectacrossthex-axis.For Exercises 87-90, write a function based on the given parent function and transformations in the given order. Parentfunction:y=1x1.Stretchverticallybyafactorof2.2.Reflectacrossthex-axis.3.Shiftdownward3units.For Exercises 87-90, write a function based on the given parent function and transformations in the given order. Parentfunction:y=x1.Shift3.7unitstotheright.2.Shrinkhorizontallybyafactorof13.3.Reflectacrossthey-axis.Explain why the graph of gx=2x can be interpreted as a horizontal shrink of the graph of fx=x or as a vertical stretch of the graph of fx=x.Explain why the graph of hx=12x can be interpreted as a horizontal stretch of the graph of fx=x or as a vertical shrink of the graph of fx=x.93PE Explain why gx=1x+1 can be graphed by shifting the graph of fx=1x one unit to the left reflecting across the y-axis, or by shifting the graph of f one unit to the right and reflecting across the x-axis.For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a rule y=fx that would produce the given graph.For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a rule y=fx that would produce the given graph.97PE For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a rule y=fx that would produce the given graph.For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a rule y=fx that would produce the given graph.100PE The graph shows the number of views y (in thousands) for a new online video, t days after it was posted. Use transformations on one of the parent functions from Table 1-2 on page 183 to model these data.102PE a. Graph the functions on the viewing window 5,5,1by2,8,1. y=x2y=x4y=x6 b. Graph the functions on the viewing window 4,4,1by10,10,1. y=x3y=x5y=x7 c. Describe the general shape the graph of y=xn where n is an even integer greater than 1. d. Describe the general shape the graph of y=xn where n is an odd integer greater than 1.Determine whether the graph is symmetric with respect to the y-axis,x-axis, or origin. a.y=x2b.y=x+1 2SP Determine if the function is even, odd, or neither.Determine if the function is even, odd, or neither. a.mx=x5+x3b.nx=x2x+1c.px=2x+x Evaluate the function for the given value of x. fx=x+7forx2x2for2x13forx1 a.f3b.f2c.f1d.f4 Graph the function. fx=2forx12xforx1 Graph the function. fx=xfor4x2x+2forx2 Evaluate fx=x for the given values of x. a.f1.7b.f5.5c.f4d.f4.2 9SP Use interval notation to write the interval(s) over which f is a. Increasing b. Decreasing c. Constant For the graph shown, a. Determine the location and value of any relative maxima. b. Determine the location and value of any relative minima.A graph of an equation is symmetric with respect to the -axis if replacing x by results in an equivalent equation.A graph of an equation is symmetric with respect to the -axis if replacing y by y results in an equivalent equation.A graph of an equation is symmetric with respect to the if replacing x by xandybyy results in an equivalent equation.An even function is symmetric with respect to the .An odd function is symmetric with respect to the .The expression represents the greatest integer, less then or equal to x .For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y=x2+3 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y=x4 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) x=y4 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) x=y2+3 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) x2+y2=3 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) x+y=4 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y=x+2x+7 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y=x2+6x+1 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) x2=5+y2 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y4=2+x2 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y=12x3 For Exercises 7-18, determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, origin, or none of these. (See Example 1-2) y=25x+1 19PE 20PE For exercises 21-26, use the graph to determine if the function is even, odd, or neither. (See Example 3)For exercises 21-26, use the graph to determine if the function is even, odd, or neither. (See Example 3)For exercises 21-26, use the graph to determine if the function is even, odd, or neither. (See Example 3)For exercises 21-26, use the graph to determine if the function is even, odd, or neither. (See Example 3)25PE For exercises 21-26, use the graph to determine if the function is even, odd, or neither. (See Example 3)a.Givenfx=4x23x,findfx.b.Isfx=fx?c.Isthisfunctioneven,odd,orneither?a.Givengx=x8+3x,findgx.b.Isgx=gx?c.Isthisfunctioneven,odd,orneither?a.Givenhx=4x32x,findhx.b.Findhx.c.Ishx=hx?d.Isthisfunctioneven,odd,orneither?a.Givenkx=8x56x3,findkx.b.Findkx.c.Iskx=kx?d.Isthisfunctioneven,odd,orneither?a.Givenmx=4x2+2x3,findmx.b.Findmx.c.Ismx=mx?d.Ismx=mx?e.Isthisfunctioneven,odd,orneither?a.Givennx=7x+3x1,findnx.b.Findnx.c.Isnx=nx?d.Isnx=nx?e.Isthisfunctioneven,odd,orneither?For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) fx=3x6+2x2+x For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) px=x+12x10+5 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) kx=13x3+12x For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) mx=4x5+2x3+x For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) nx=16x32 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) rx=81x+22 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) qx=16+x2 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) zx=49+x2 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) hx=5x For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) gx=x For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) fx=x23x42 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) gx=x32x13 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) vx=x5x+2 For Exercises 33-46, determine if the function is even, odd, or neither. (See Example 4) wx=x3x2+1 For Exercises 47-50, evaluate the function for the given values of x. (See Example 5) fx=3x+7forx1x2+3for1x45forx4a.f3b.f2c.f1d.f4e.f5 For Exercises 47-50, evaluate the function for the given values of x. (See Example 5) gx=2x3forx25x+6for2x34forx3a.g3b.g3c.g2d.g0e.g4 For Exercises 47-50, evaluate the function for the given values of x. (See Example 5) hx=2for3x21for2x10for1x01for0x1a.h1.7b.h2.5c.h0.05d.h2e.h0 For Exercises 47-50, evaluate the function for the given values of x. (See Example 5) tx=xfor0x12xfor1x23xfor2x34xfor3x4a.t1.99b.t0.4c.t3d.t1e.t3.001 A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The speed of the sled st (in ft/sec) at a time t (in sec) after movement begins can be approximated by: st=1.5tfor0t2030t19for20t40 Determine the speed of the sled after 10 sec, 20 sec, 30 sec, and 40 sec. Round to 1 decimal place if necessary.A car starts from rest and accelerates to a speed of 60 mph in 12 sec. It travels 60 mph for 1 min and then decelerates for 20 sec unit it comes to rest, The speed of the car st (in mph) at a time t (in sec) after the car begins motion can be modelled by: st=512t2for0t1260for12t7232092t2for72t92 Determine the speed of the car 6 sec, 12 sec, 45 sec, and 80 sec after the car begins motion.For Exercises 53-56, match the function with its graph. fx=x+1forx2 For Exercises 53-56, match the function with its graph. fx=x+1for1x2 For Exercises 53-56, match the function with its graph. fx=x+1for1x2 For Exercises 53-56, match the function with its graph. fx=x+1forx2 a.Graphpx=x+2forx0.SeeExample6-7b.Graphqx=x2forx0.c.Graphrx=x+2forx0x2forx0 a.Graphfx=xforx0.b.Graphgx=xforx0.c.Graphhx=xforx0xforx0 59PE a.Graphax=xforx1.b.Graphbx=x1forx1.c.Graphcx=xforx1x1forx1 For Exercises 61-70, graph the function. (See Examples 6-7) fx=xforx2x+4forx2 For Exercises 61-70, graph the function. (See Examples 6-7) hx=2xforx0xforx0 For Exercises 61-70, graph the function. (See Examples 6-7) gx=x+2forx1x+2forx1 64PE For Exercises 61-70, graph the function. (See Examples 6-7) rx=x24forx22x4forx2 66PE 67PE 68PE For Exercises 61-70, graph the function. (See Examples 6-7) mx=3for4x1xfor1x3x3forx3 For Exercises 61-70, graph the function. (See Examples 6-7) nx=4for3x1xfor1x2x2+4forx2 71PE For Exercise 72-80, evaluate the step function defined by fx=x for the given value of x . (See Example 8) f3.7 For Exercise 72-80, evaluate the step function defined by fx=x for the given value of x . (See Example 8) f4.2 For Exercise 72-80, evaluate the step function defined by fx=x for the given value of x . (See Example 8) f0.5 75PE 76PE For Exercise 72-80, evaluate the step function defined by fx=x for the given value of x . (See Example 8) f0.09 78PE 79PE For Exercise 72-80, evaluate the step function defined by fx=x for the given value of x . (See Example 8) f5 81PE For Exercises 81-84, graph the function. (See Example 8) gx=x3 83PE For Exercises 81-84, graph the function. (See Example 8) hx=int2x For a recent year, the rate for first class postage was as follows. (See Example 9) Write a piecewise-defined function to model the cost Cx to mail first class if the letter is x ounces.The water level in a retention pond started at 5 ft (60 in.) and decreased at a rate of 2 in./day during a 14-day drought. A tropical depression moved through at the beginning of the 15th day and produced rain at an average rate of 2.5 in./day for 5 days. Write a piecewise-defined function to model the water level Lx (in inches) as a function of the number of days x since the beginning of the drought.A salesperson makes a base salary of $2000 per month. Once he reaches $40,000 in total sales. he earns an additional 5 commission on the amount in sales over $40,000 . Write a piecewise-defined function to model the salesperson's total monthly salary Sxin$ as a function of the amount in sales x .A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus 0.40 per minute for calls beyond the 600-min monthly limit. Write a piecewise-defined function to model the monthly cost Cxin$ as a function of the number of minutes used x for the month.For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercise 89-96, use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. (See Example 10)For Exercises 97-102, identify the location and value of any relative maxima of the function. (See Example 11)For Exercises 97-102, identify the location and value of any relative maxima of the function. (See Example 11)99PE For Exercises 97-102, identify the location and value of any relative maxima of the function. (See Example 11)101PE For Exercises 97-102, identify the location and value of any relative maxima of the function. (See Example 11)The graph shows the depth d (in ft) of a retention pond, t days after recording began. a. Over what interval(s) does the depth increase? b. Over what interval(s) does the depth decrease? c. Estimate the times and values of any relative maxima or minima on the interval (0,20). d. If rain is the only water that enters the pond, explain what the intervals of increasing and decreasing behaviour mean in the context of this problem.The graph shows the height h (in meters) of a roller coaster t seconds after the ride starts. a. Over what interval(s) does the height increase? b. Over what interval(s) does the height decrease? c. Estimate the times and value of any relative maxima or minima on the interval (0, 70).For Exercises 105-110, produce a rule for the function whose graph is shown.106PE For Exercises 105-110, produce a rule for the function whose graph is shown.108PE 109PE 110PE For Exercises 111-112, a. Graph the function. b. Write the domain in interval notation. c. Write the range in interval notation. d. Evaluate f1,f1,andf2. e. Find the value(s) of x for which fx=6. f. Find the value(s) of x for which fx=3. g. Use interval notation to write the intervals over which f is increasing, decreasing, or constant. fx=x2+1forx12xforx1 112PE 113PE 114PE From an equation in xandy, explain how to determine whether the graph of the equation is symmetric with respect to the x-axis,y-axis, or origin.116PE 117PE 118PE Provide an informal explanation of a relative maximum.120PE 121PE 122PE A graph is concave up on a given interval if it â€œbendsâ€� upward. A graph is concave down on a given interval if it â€œbendsâ€� downward. For Exercises 123-126, determine whether the curve is (a) concave up or concave down and (b) increasing or decreasing.124PE 125PE A graph is concave up on a given interval if it â€œbendsâ€� upward. A graph is concave down on a given interval if it â€œbendsâ€� downward. For Exercises 123-126, determine whether the curve is (a) concave up or concave down and (b) increasing or decreasing.For a recent year, the federal income tax owed by a taxpayer (single-no dependents) was based on the individualâ€™s taxable income. Write a piecewise-defined function that expresses an individualâ€™s federal income tax fxin$ as a function of the individualâ€™s taxable income xin$.For Exercises 128-131, use a graphing utility to graph the piecewise-defined function. fx=2.5x+2forx1x2x1forx1 For Exercises 128-131, use a graphing utility to graph the piecewise-defined function. gx=3.1x4forx2x3+4x1forx2 For Exercises 128-131, use a graphing utility to graph the piecewise-defined function. kx=2.7x4.1forx1x3+2x+5for1x21forx2 For Exercises 128-131, use a graphing utility to graph the piecewise-defined function. zx=2.5x+8forx22x2+x+4for2x22forx2 For Exercises 132-135, use a graphing utility to a. Find the locations and values of the relative maxima and relative minima of the function on the standard viewing window. Round to 3 decimal places. b. Use interval notation to write the intervals over which f is increasing or decreasing. fx=0.6x2+2x+3 For Exercises 132-135, use a graphing utility to a. Find the locations and values of the relative maxima and relative minima of the function on the standard viewing window. Round to 3 decimal places. b. Use interval notation to write the intervals over which f is increasing or decreasing. fx=0.4x23x2.2 For Exercises 132-135, use a graphing utility to a. Find the locations and values of the relative maxima and relative minima of the function on the standard viewing window. Round to 3 decimal places. b. Use interval notation to write the intervals over which f is increasing or decreasing. fx=0.5x3+2.1x23x7 For Exercises 132-135, use a graphing utility to a. Find the locations and values of the relative maxima and relative minima of the function on the standard viewing window. Round to 3 decimal places. b. Use interval notation to write the intervals over which f is increasing or decreasing. fx=0.4x31.1x2+2x+3 Given mx=xandnx=4,findm+nx.2SP 3SP Givenfx=4x2,a.Findfx+h.b.Findthedifferencequotient,fx+hfxh.Givenfx=x25x+2,a.Findfx+h.b.Findthedifferencequotient,fx+hfxh.6SP Given fx=3x+4andgx=1x1, write a rule for each function and write the domain in interval notation. a.fgxb.gfx 8SP Given rx=xx+1andtx=5x29,findrtx and write the domain in interval notation.An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-ml tube. a. Write a function representing the cost Cxin$ for x tubes of paint. b. There is a 5.5 sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost Ta for a dollars spent in merchandise. c. Find TCx and interpret the meaning in context. d. Evaluate TC18 and interpret the meaning in context.11SP Refer to the functions fandg pictured in Example 12. Evaluate the functions at the given values of x if possible. a.fg2b.fg3c.gf5d.gf5e.fg5f.fg0 1PE The function fg is defined by fgx= provided that 0.Let h represent a positive real number. Given a function defined by y=fx, the difference quotient is given by The composition of fandg, denoted by fg, is defined by fgx=.For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=xandgx=3 For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=xandgx=4 For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=x2andgx=4 For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=x2andgx=3 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 fg3 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 gh2 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 fg1 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 hg4 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 g+h0 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 f+h5 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 fg8 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 hf7 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 gf0 For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) fx=2xgx=x+4hx=1x3 hg4 For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the domain in interval notation. (See Example 3) rx=3xpx=x2+3xqx=1x rpx For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the domain in interval notation. (See Example 3) rx=3xpx=x2+3xqx=1x prx For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the domain in interval notation. (See Example 3) rx=3xpx=x2+3xqx=1x pqx For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the domain in interval notation. (See Example 3) rx=3xpx=x2+3xqx=1x rqx For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the domain in interval notation. (See Example 3) rx=3xpx=x2+3xqx=1x qpx

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