) For what value of x the function is not defined? e) Evaluate: g(5) – g(-3) n Describe the graphs of these functions. h(x) = v² and g(x) = vr² – 9N

Q: . The graph of the function f(x) = ax2 + bx + c has vertexat 10, 22 and passes through the point 11,…

A: We have  fx=ax2+bx+c To find the vertex of the quadratic equation, differentiate it and equate it to…

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: Sketch the graphs of g and g 1. Then find the rule for g-x) g(x)=x2+2 (x 20) gx) =

A: Given function is gx=x2+2

Q: 1 Let f(r) = (r – 1)?, g(x) = 1– r², h(r) = 2(x+ 3)2 – 8, find for each function a) r- and y-…

A: Given :           fx=x-12gx=1-x2hx=2x+32-8

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: Graph g(x) and –g() -9() from g(x)? on the same axes for the x-interval x E [0, 5]. How did you get

A: we have to get the graph -g((5-x)/2) from g(x)

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: endpoints

A:

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

A: For a function y=f(x), the set of real values of x for which f(x) is defined is called the domain of…

Q: Q.2 Apply vertical line test to show that the graph of the function 4 =1 does not 9. represent the…

A: To Determine: Apy vertical line test to show that the graph of the function does not represent the…

Q: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

A:

Q: What is the domain and range of  a) g(x)= 4/x b) f(x)= (1/2)x3 + 2 c) f(x)= x+ √4-x2 Show all…

A:

Q: 5. Reconstruct the graph I from its subgraphs : F; =r-v;, where T3 = K13 T= Is= K13+e; T:. P,UK,

A:

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

A:

Q: Which graphs shows the function f (1): %3D 243z+2 17

A: Given

Q: 10) Find the end behavior of the given graph. As x→-00, f(x) As x→ 0, Ht) 恩) 00,

A:

Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: 2. 3(1-1 On what interval is the graph of f(x): concave downward?

A:

Q: let p =(x,y) be a point on a graph of y=x2-5 using a graphing utility to graph d=d(x) in order to…

A:

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

A:

Q: Sketch the graph of g(x) =6-2x-4 by transforming the graph of f(x) = Vx Label all the graphs drawn…

A: We have to sketch the given graph.

Q: Use the graphs of f and g to graph h(x) (f + g)(x). (Graph segments with closed endpoints.) y 3 2 1…

A: Finding the graph of (f+g)(x) from the conditions given

Q: Use the graph of y=f(x) to answer the following. 4- 3+ 10 -1- -2+ -3- Part 1 of 8 (a) Determine f…

A:

Q: 2.For the graph provided, state whether the leading coefficient is positive or negative, the degree,…

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: Sketch the graphs of x2 = 4py for p = 1/4, 1/2, 1, 3/2, and 2 on the same coordinate axes. Discuss…

A: To sketch the graph of x2=4py for p=14, 12, 1, 32, and 2 on the same coordinate axes.

Q: 1) Discuss the concavity of the graph of f (2) = #* – 2æª + 1 Show Graph. and find its points of…

A: We can use the application of derivative in order to get the solution. Inflection point at…

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: 3. Briefly describe the characteristics of the graph of y = f(x) that can be deduced from each of…

A:

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: The point (2,-4) Is on the grauph of y= f(x) The point on the graph ot y- g(x),where gx)= 2€k) 1s?

A: That is,

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

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

A:

Q: Sketch the graphs of g and g-1. Then find the rule for g(x). g(x)=Dx2+2 (x20) 8(x) =

A: Inverse of function

Q: 2A.6A: analyze the effect on the graphs of f(x) = x, when f(x) is replaced by af(x), f(bx), f(x -…

A:

Q: Explain how the graphs of g and h are obtained from the graph off. f(x) = x², g(x) = (x + 4)°,…

A:

Q: 6. What are all values of x for which the graph of y= 6r ++3+ is concave downward? %3D

A: To find All values of x where the given function is concave downward.

Q: Use the graph of y =f(x) to answer the following. 4. 3- -1- -2- -3- (a) Determine f (-5). (b)…

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

Q: 7- -6 -5 -2 4 -5 -6 -7

A:

Q: 8. If (-4,1) is located on the graph of f and g(x) = 3f (;x) + 1, what point must be on the %3D…

A:

Q: 3. Given the graph of f(x), sketch the graph of y = S(x)* a) b) 2- -8-7 -6-5-43-2-1 123 5678 -2 -4…

A: (a) Here is the given graph, It is the graph of a quadratic function,

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: f(x) = x² + 15 and g(x) = x + 87 over the interval – 8 < x < 9. (Note that these are the x-values of…

A:

Q: 18) In the graph shown, at what values of x does the value of y change from Increasing to decroasing…

A: →Observe the graph in different sub-parts.→Find the point at which the value of y changes from…

Q: Use the graphs of f and g to:Graph f + g.

A: Given: The graph of function f and g as  To sketch: The graph of f+g,

Q: Use the graphs of f and g to Graph f + g.

A: Given: f(x) X -4 -3 -2 -1 0 1 2 3 Y 5 4 3 3 2 1 -1 -3   g(x) X -4 -3 -2 -1 0 1 2 3 Y 0…

Q: If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a…

A: Definition used -    If  graph of a function f(x) compressed vertically by factor a , then new…