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Graphing Piecewise Defined FunctionsSketch a graph of the
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Chapter 2 Solutions
College Algebra
- An outpatient operating room charges each patient a fixed amount per surgery plus an amount per minute for use. One patient was charged 250 for a 30-minute surgery and another patient was charged 450 for a 90-minute surgery. Determine the linear function that would be used to compute the charges. Use the function to determine the charge when a patient has a 45-minute surgery.arrow_forwardSketch the graph of f(x)=x24x+3. Identify the vertex and x-intercepts.arrow_forwardRevenue The table shows the monthly revenue y (in thousands of dollars) of a landscaping business for each month of the year 2016, with x=1 representing January. A mathematical model that represents these data is fx1.97x+26.30.505x21.47x+6.3. (a) Use a graphing utility to graph the model. What is the domain of each part of the piecewise-defined function? How can you tell? (b) Find f5 and f11 and interpret your results in the context of the problem. (c) How do the values obtained from the model in part b compare with the actual data values?arrow_forward
- A coffeeshop determines that it can sell 5000 cups of coffee at a price of $1.50, but for every $1 increase in the price, their sales will decrease by 6000 cups and for every $1 decrease, their sales will increase by 6000 cups.A function giving the revenue earned when the price of coffee is x dollars per cup is R(x)=arrow_forwardIn the graph below. Two functions n(x) and j(x) are graphed. Find the following: 10+ 7- 5- 10 -9 -8 -7 -6 -5 -4 -3 -2 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 10+ Find x when j(x) : - 5, x = Where does n(x) = j(x)? List coordinates of all points.arrow_forwardsketch a graph of the piecewise function shown in picture. determine x-intercept and y-intercept of the functionarrow_forward
- A graph of a function f is given below. y 15 10 Graph f(x - 4) and f(x) + 4. y 15 15 f(x - 4) 10 10 f(x) + 4 f(x) f(x) f(x) + 4 f(x – 4) y 15 15 f(x) + 4 10 10 f(x – 4) f(x) f(x) f(x) + 4 f(x - 4) Xarrow_forwardA graph of a piecewise defined function is given. Find a formula for the function in the indicated form. f(x) = if x ≤ −1 if −1 < x ≤ 2 if x > 2arrow_forwardSketch the graph of a piecewise defined function on a graph paper using pencil. 3x - 2 |2x2 - 5 if x > 2 if x < 0 f(x) =arrow_forward
- Path of a Ball If a ball is thrown into the air at avelocity of 96 feet per second from a building that is256 feet high, the height of the ball after x seconds isf (x) = 256 + 96x - 16x2feet.a. For how many seconds will the ball be in the air?b. Is this function a one-to-one function over thistime interval?c. Give an interval over which the function is one-toone.d. Find the inverse of the function over the interval0 <= x <= 3. What does it give?arrow_forwardYou searched for end behavior - Calcwor... OGRAPHS AND FUNCTIONS Quotient of two functions: Basic (a) Find Suppose that the functions g and h are defined as follows. g(x) = (x+1)(x+3) h(x)=-5x−1 8 (a) (6). (b) Find all values that are NOT in the domain of g h If there is more than one value, separate them with commas. (5) 0 Access ALEKS (6) = Explanation (b) Value(s) that are NOT in the domain of 8 h Check www-awu.aleks.com A ALEKS - Kayla Ebanks - Learn 00 X MacBook Pro Ś Garrow_forwardEvaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3x+6 if x2 0 (a) f(-3) (c) f(3) (b) f(0) (a) f-3) (b) f(0)- (c) f3)- Enter your answer in each of the answer boxes Take a Test CHRIS... Quizzes & Tests In...arrow_forward
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