14. The graphs of f(x) and g(x) are shown. What is g(f(4))? 3 -5 -4 -3 2 1-3

Q: 52. Let if x 2 | (b) Sketch the graph of g.

A: Domain of g(x) is divided into parts.We have to draw different path for different part of domain.…

Q: 1. Let X be the graph of f(x) = x2/3 given below

A: Sol

Q: 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x)- 1, what point is guaranteed to be on…

A: Given (-4,5) is located on the graph of f and g(x)= 3f(2x)-1  We want to find the guaranted point on…

Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: 2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 67. -20 -2-

A: f(g(0))=? f(g(2))=?

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: 12. The graph of f(z) = 1+z² is given below. 2.

A:

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: 11) Find the point of inflection of the graph of the function. f(x) = xVx – 27 %3D

A:

Q: 5. Sketch the graph of g(x) =- 16-2x-4 by transforming the graph of f(x) = Vx Label all the graphs…

A: Given:                            f(x)=x   To determine:                           g(x)=126-2x-4…

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: 13. Given the function f (x) = 2xv1 – x2. Determine the following: i. Graph

A:

Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: The graph of f(x) = is (increasing/decreasing) over its domain. 3 ()

A:

Q: True or false: The graph of g(x) = Vx + 4 is the graph of f(x) = Vĩ shifted horizontally to the…

A: Given,     The graph of g(X)=x+4  is the graph of f(x)=x  shifted horizontally to the right by 4…

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: x2 – 3 y = 2х — 4

A:

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: 1 then shifted to the left 3 units and down 2 units. 2 b. The graph of f(x) Vr is horizontally…

A:

Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below

Q: 9. Find the points of inflection and discuss the concavity of the graph of the function h(x) = x(x -…

A:

Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: Can you help me sketch a graph of g(x) and clearly indicate on the graph where the relative extrema…

A:

Q: 5. Given that f(x)= |x|, h(x)=-x, g(x)=(x-2)²-3 . (a) Graph f(x),h(x) and g(x). (b) Using the…

A: f(x)=x, h(x)=-x, g(x)=(x-2)2-3

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

A:

Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

A:

Q: (a) To obtain the graph of g(x) = 2* - 1, we start with the graph of f(x) = 2* and shift it…

A: Given- (a) To obtain the graph of gx=2x-1,we start the graph of fx=2xand shift it…

Q: 9 Draw a graph of y = f(x) such that f(-2) = 5, f(1) = 0, and f(4) = 3. %3|

A: Given:

Q: 10. Label the graphs as f(z) or g(z). f(x) = 4" and g(x) 2" %3D -5- A. 3- 2- B. -5 -4 -3-2 2 4 5 2-…

A: Question-  10. Label the graph as f(x) or g(x)   f(x) = 4x and g(x) = 2x

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: The graph of f(x)=x^2 was transformed to create the graph of g(x)=f(x)-9. Which statement about the…

A: I have provided solution in step 2.

Q: 13. Use the idea of transfr-mation to sketch the function y = -2f(x+2) + 3 if the graph of y = f(x)…

A: Given: The graph of y=f(x) is

Q: 9. Sketch the graph and determine the domain and range -x', x 2

A:

Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

A:

Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…

A: I have appended the concept used in the solution part.

Q: 9. Graph the piecewise function: 2 xS-1 h(x) = { x' -1<x< /2 %3D 43

A: We have to graph the function.

Q: (a) To obtain the graph of g(x) = 2* – 1, we start with the graph of f(x) = 2* and shift it %3D…

A: The graphs of y = 2^x - 1 and y = 2^x are given as follows: The red colored graph represents the…

Q: 4. a) Sketch the graphs ofy=f(x) = -2(x – 3)2 + 2 and y=g(x)= 4x – 10 on the same set of axes. b)…

A:

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

A:

Q: 4. How are graphs of the functions obtained from the graph of ? (a) y=-f(x)          (b) y =2f(x)-1…

A:

Q: Suppose (1, 3) is a point on the graph of y = f(x).• What point is on the graph of y = f(x + 3) −…

A: y = f(x + 3) − 5 means y=f(x) moved 3 units left and 5 units down. (x,y) -&gt; (x-3 , y-5). So,…

Q: 10) Given the graph of f(x), graph g(x) = -f(x-2)-3

A:

Q: 1 Sketch a graph of f(x) (z – 2)? - 4 (a)

A: We have to draw the graph of function: fx=12x-22-4 First we will draw the graph of fx=12x-22 by…

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A:

Q: у 1 0 1 T 1 X

A: