71. Transformations Suppose the graph of f is given. Describe how the graphs of the following functions can be obtained from the graph of f. (a) y = f(x) + 8 (b) y = f(x + 8) (e) y = 1 + 2f(x) (d) y = f(x – 2) – 2 (f) y = -f(-x) (h) y = f"(x) (e) y = f(-x) (g) y = -f(x)

Q: 5. Describe the graph of the function at its roots: f(x 2) (x + 6) (x + 12) a. At x = 2, the graph…

A: To describe the graph of the given function on the given roots.

Q: 1) The graph below represents a function f (x). Sketch an approximate graph of f'(x). 3 4 5. 6. -2

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Q: 56. a. Graph f(x) = Vx – 2. b. From the graph of f, is fa one-to-one function? c. Write the domain…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The graph of f(x): (a) Determine f(2). (b) Estimate the x values such that f(x) = 5 (c) Estimate the…

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

Q: 12. The graph below represents a function f(x). List (in order) the transformation needed to graph…

A: This question

Q: 12] Sketch a graph of the function below. Include calculations of all key features. 10 f(x) = - х2 —…

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Q: 23. Describe how the graph of the function can be obtained from the basic graphs. Then graph the…

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Q: The accompanying figure shows the graph of a function ƒ(x) with domain 30, 24 and range 30, 14. Find…

A: Domain :       The domain of a graph consists of all input values on x-axis.     Range :…

Q: The graph of the function is a translation of the graph of f(x) = |x|. Graph the function. h(x) = |x…

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Q: etch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0 • f(x)…

A: we use the given  conditions of function and draw its graph

Q: (d) Describe End Behavior of the f(x). (e) Sketch the graph of the function f (x) =…

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

Q: 37. The accompanying figure shows the graph of a function f(x) with domain [0, 2) and range (0, 11.…

A: answer

Q: x² +1 6. Use the guidelines to sketch the graph of the function f(x) =- x -4 a) Domain b)…

A: Sicne you are asking multiple subprts. We are solving only the  The function fx=x2+1x2-4. We have to…

Q: 6) Discuss the continuity of the graph of the function below. Show work to justify your answer. 1-…

A: We see that at x=1 there is a jump discontinuity.  The graph is continuous on the left side of x=1…

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Q: A graph of a function f is given below. y 10- -2 4 6 8 10 -5 -10 Sketch the graph of f-1. 10

A: The graph of the function. We have to find the graph of its inverse.

Q: 6. Sketch the graph of the function having the given characteristics. f(-6) = f(4) = 0 f'(-2) =…

A: Given the characteristics of the graph of a function:

Q: -10 The graph of f(x) is shown in the figure. Where is f'(x) < 0?

A: To find the intervals where f'(x)&lt;0 using the graph.

Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the…

A: Starting from a parent function and applying different types of operations, a function can be…

Q: Consider the following function. 2x x-7 f(x) = Describe the local behavior of the function. f(x) is…

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Q: 1. Use the graph of the function f below as the first step toward graphing-f(x + 2) +1. Show all…

A: topic - functions

Q: ing the parrent function f(x)=x2 and transformations, explain how g(x)= -x2-1 and h(x)=-(x2+1) have…

A: Given :   f(x) = x2

Q: Describe how the graph of the function can be obtained from one of the basic graphs: y=x y=x*2 y=√x…

A: Given:1) f(x)=-x-1ii) f(x)-2x-4iii) f(x)=2x-4

Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: 41 -5 -4 -3 -2 -1 4 -2 -3 -4 -5+ Use the graph of f(x) above to estimate the value of f'(- 2) to one…

A: The graph of  the function f(x) is given. To estimate the value of f'(-2)

Q: 10. Suppose a function f is one-to-one. For ca constant we know that the graph of the function g(x)…

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Q: Describe how to transform the graph of f into the graph of g. f(x) = x; g(x) = -f(x+5) Select one:…

A: Givenfx=xgx=-fx+5

Q: 1.5 1 y 0.5 0. 2 4 6 -0.5 -15- shows the graph of the function f (x) = The figure 1.5 1 y 05 2 4 6 8…

A: In this question we will use basic of trigonometric function. We will use the basic of curve of…

Q: The graph depicts the graph of g (x). The function is discontinuous at x

A: Here we have given the graph of g(x) .Now we have to find the points where the given function g(x)…

Q: -2x let f (x) = 3x · e¯¯

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Q: f1 – x² if x s0 l2x +1 if x >0 (a) Evaluate f(-2) and f(1) 5. Let f(x) = (b) Sketch the graph of f

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Q: 13. Consider the function 2x x 0 (a) Sketch a graph of the function. (b) What is f(-1)?

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Q: Q #2. Explain how the graph of g is obtained from the graph of f. Graph both f and g on the same…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: The graph of y =f(r) is graphed below. What is the end behavior of f(x)? 1000 800 600 A00 200 -10 -8…

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Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

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Q: 12. The graph' of f is' given. Sketch the'graph function y = Ax) + 3. 5- 3- -2- L. E-1-1- to -3 -51

A: topic - transformation of function and its sketch

Q: Sketch the function that has a graph the shape of s(x) = x^2 , with a horizontal shrink by a factor…

A: The given function is S(x)=x2 If the given function is y=f(x) then Shrink horizontally by a factor n…

Q: The graph of a function, f (x), is shown. f(x) 1- 2- Which statement is true? O The output values…

A: Given: The graph of a function

Q: What are the features of the function f(x) = 2 (3) - 2 graphed below? 12 -12-11-10-9 -8 -7 -6 -5 -4…

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Q: x+1 Discuss the similarities and differences between the graphs of f(x) and g(x): (х-1)(х-2)…

A: To determine the similarities and differences of the following functions: fx=x+1x-1x-2 and…

Q: What transformations of the graph of f (z) are applied to graph the function f(-z)? 6. (a) The 1/2…

A: Given :                      The function f(x):   We need to find the transformations need to be…

Q: What are the inflection points of the graph of f(x) = ³ – 3x + 2? O The point of inflection is at…

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Q: -1 1 Explain how the graph of the function f(x) = -3 can be obtained from the graph of y = Then…

A: The given function is f(x)=-1(x+2)2-3 can be obtained from y=1x2

Q: 3- Let consider the function y=x-lx-1l-Ix-21 write this functionas a piecewise function and then…

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Q: 5- 4 -5 -4 -3 -2 -1 4 5 -2 =3 -4- -5- Use the graph of f(x) above to estimate the value of f'(3) to…

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Q: -5 -4 -3 -2 -1 2 3 4 -2 -3 -4 -5+ of Use the graph of f(x) above to estimate the value of f'(- 2) to…

A: Solution is given below: