Complete the sentence below. Suppose that the graph of a function f is known. Then the graph of y = f(x - 2) may be obtained by a shift of the graph of f a distance of 2 units. Suppose that the graph of a function f is known. Then the graph of y = f(x - 2) may be obtained by a shift of the graph of f a distance of 2 units.

Q: For Discussion 57. Consider the linear function f(x) =x – 4. If x is changed by 1 unit, how many…

A: This question is asked about the change in the function value y corresponding to change in the value…

Q: [-10,10,1] by [-1,8,1]

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Q: Below is the graph of f(x). Which function would represent g(x) if g(z) = f(x – 4)? -3 -2 2 2. 3.

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Q: Describe how the graph of each of the following functions can be obtained from the graph of y =…

A: By performing transformations on the graph of a function, many other graphs are obtained. Consider a…

Q: 3) O 4 N

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Q: 3- 1 1 2 -5

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Q: (a) Draw the graph of f(x)

A: Consider the exponential function:

Q: The graph of the function f (x) = x?will be shifted down 2 units and to the right 3 units. Which is…

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Q: hich could be the table of values that was used to graph the function of x shown? 7- 5 4 4 ーア Ax) -1…

A: To find :                The table of values that was shown in the graph. The ordered pairs are :…

Q: 1)

A: Solution ) 1) in the first graph   We see that  In every value of x , y value is constant which is 2…

Q: Which of the following TWO graphs ARE functions? A & B B & C A & D B & D

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Q: Use the graphs of f and g to evaluate the functions. y =flx) y g(x) 2. 2. 2 4 (a) (f-g)(2) (b)…

A: Graph of the functions f and g are given, we have to find (f-g)(2) and (f g)(1)

Q: 10 +→ x 10 -10 -4 -2 2 6 -2 10

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Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: 1 -10 -5 10 -1 -2 2 -4 -2 AA 1 -5

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Q: Consider the functions graphed in the coordinate plane. YI 9 1o g(x) f(x) If g (x) = f (x) + k ,…

A: The relation between the functions f(x) and g(x) is given by g(x) = f(x) + k…

Q: Graph the pair of functions on the same plane. Use a dashed line for g(x). 6) f(x) = x2 , g(x) = x2…

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Q: 2. The graph below shows a function. Which of the following is not in the range of the function? 10-…

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Q: Determine the end behavior of the graph of the function. 1 x*-9x-x +7 3 4 3 f(x) = As x + - 00,f (x)…

A: Please see below.

Q: In a certain state the maximum speed permitted on freeways is 55 mi/h and the minimum speed is 35…

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Q: 13. Is the following the graph of a function? Why or why not? 14. For the function f(x) = x² + 5x –…

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Q: If f (x) = x- and g (x) = -2, which graph corresponds to the function of (fg) (2)? D line U B line S…

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Q: If (2,5) is a point on the graph of function f(x), which of the following must be tru? Explain A.…

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Q: Which function is shown in the graph? 4 2 -4-2 2. 4 O A. f(x) = |x| f(x) = x| %3D S-, if a 0 f(x) =…

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Q: For this item, select the answers from the drop-down menus. Consider the functions f (x) and g (x).…

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Q: Graph the pair of functions on the same plane. Use a dashed line for g(x). 6) f(x) = x2, g(x) = x2 -…

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Q: 3. Is the graph shown below that of a function? x uis -7-6 -5 -4 -3 -2 -1 0 1 2 4 5 7. Answer: no

A: Solution:-  Since sin(0)= 0          Sin(π/2)= sin( 1.57)=1          Sin(-π/2)= -1

Q: ax if a<0 ? x²-4 Which of the following could be a graph of the function f(x)=-X

A: the function f(x)  goes to infinity at x=±2 for x&lt;±2  f(x) is positive  for x&gt;±2 f(x) is…

Q: 2. The graph at the right is of a plecewise function f(x). Write definition of the function f(x).…

A: The objective is to write f(x) by observing the graph.

Q: Which of the following is the graph of a function? If it is, give the domain and range of the…

A: Any graph is a graph of a function if it passes the vertical line test.

Q: Complete the description of the piecewise function graphed below. -6 -3 5 5 if f(x): f(r) = -1 if 2…

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Q: Complete the description of the piecewise function graphed below. -7 6 -2- { -1 if f(z) = {2 if| { 3…

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Q: Given the graph of f () below, which of the following could represent the graph of f' (x)? (0, 4)…

A: Given query is to find the graph of f-1(x).

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? %3D 250 200 150 100 50 -10…

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Q: For Exercise, the graph of y = f(x) is given. Graph the indicated function. Graph y = f(-x) + 3. y =…

A: y=f(-x)+3 means y=f(x) reflected over the y axis and moved 3 units up. So the new x will be -x and…

Q: The graph of f(x) is shown; it goes through the point (1, 4). (1, 4) -5 -4 -3 -2 8 9 16

A: Definition used-    Horizontal compression - If the graph compress horizontally by a factor b…

Q: 12. Which graph corresponds to the function given? ros- x²-2, x22 x = -3 (-2, -2<x <1 f(x) =}2, w -…

A: In this question , we can make the graph of f(x).Firstly we make the graph of f(x) when x≥2. After…

Q: The accompanying graph is a sketch of the function y =f(x) over the interval 0<x<7. -3+ What is the…

A: The expression (f ∘ f)(6) represents composition of functions. This expression when expanded means…

Q: True or False: The graph below is that of a function. 16 31 2 3

A: Solution

Q: The graph off (x) is shown. Which graph would best represent the graph of f'(x)? 54 3-2 1 1 2 3 4 5…

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Q: Consider the function graphed on the coordinate plane. y -2 2 -2 -5-Y Which sentence best describes…

A: Topic - functions and application of derivatives

Q: -* + 8 The graph of f(x) = - will behave like which function for large values of |x|? 2x² – 3 a. y =…

A: We will find the limit of the function as approaches infinity

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? y 500 400 300 200 100 -10…

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Q: 01. Graph the piecewise function. (-x+ 1, - 10 <x< -3 x? - 9, - 3 < x < 3 2x + 1, 3 <x < 5 f (x) =

A: " Since you have asked multiple question, we will solve first question for you. If you want any…

Q: -1 1 2 3 4. -1

A: The required graph will be the horizontal translation of the graph y=x3 as there in no change in y…

Q: Given a function described as the graph below, what is y when x is 3? **SEE DIAGRAM** 1 3 6 10

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Q: The graph of f is shown below. For which value of x is f'(x) the smallest? 6 - 4 2 -6 -4 -2 12 4 -2+…

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Q: 1. Which of the following graphs illustrates a one-to-one relationship? W. (1) (3) (4) 2. Which of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…