2. The function g(x) is defined for -3 Sxs 3. The behaviour of g'(x) and g"(x) is given below. -3

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: Can you please answer this question and show the steps

A: To determine the domain of the below function.

Q: 5. 5) For the function below, give all the important information about its graph. f(x) = 8 -csc(14x…

A:

Q: Based on the graph, find the range of y = f(x). 1 if x * 0 f(x) = -7 if x = 0 -10 -5 (0,-7) -10 A)…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is

Q: 0,x1 (x+2,x<-1 10. f(x)= %3D 2,x2-1

A: Answer

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 4x -5x-6 for x +2 Given f(x) 2-V2x 4 for x = 2 Is the function f continuous at x = 2 ? Give…

A: A function f(x) is continuous at x = a if limx→a+f(x)=limx→a-f(x)=limx→af(x).

Q: 9) The graph below shows two functions f (x) and g(x) on the interval [0, 10]. Use the midpoints of…

A: Please see the attachment

Q: For the function f(x) = 4² -³ calculate the following function values exactly: f(4) = %3| f(7)

A: The function is given by fx = 4x-3                                .......(1) To evaluate : The…

Q: (a) Given Ax-6, x6. (i) Calculate the value of A. (4 marks) (ii) Examine whether the function is…

A: Continuity

Q: III. DIRECTION: Determine the composite of two functions. (2points each) f(x) = x + 3, g(x)= 2x² - 9…

A: Given fx=x+3, gx=2x2-9 and hx=x2.  1) fx+gx=x+3+2x2-9fx+gx=2x2+x-6    2) fx·h(x)=x+3x2fx·h(x)=x3+3x2…

Q: f (2) = x-x-6 x2 +5x+6 Which graphs shows the function

A:

Q: 5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² at 2x+ x = 2.…

A:

Q: f(x+h)- f(x) h+0. 8. Given the function f(x)=-4x²-3x+5, find the difference quotient h

A: We know that  1) (a+b)^2 = a^2 + b^2 + 2ab

Q: For the functions f(x) and g(x), evaluate the indicated function. 3) Find (2) when f(x) = x - 1 and…

A: See the details solution Below

Q: 56. For the function g shown to the right, find all x-values for which g(x) = 1. -3 -2 -!

A: The given graph of the function g(x) is:

Q: Question 11 The point (17, - 3) is on the graph of y = f(x). 1 a) A point on the graph of y = g(x),…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (b) f(x) = 1²³-1² for x = 1 for x = 1

A: it is given that  value of function at x=1 is 1 ,  and at x =1 ,  is not defined

Q: 7. ( ) Find the x-values for the inflection points on the graph of ƒ (x)=x² .2*. %3D

A: Given function :

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: The functions q and are defined as follows. g(x) = -2x+2 r(x) = -x² - 1 Find the value of g (r (5)).…

A: