The graphs of the functions f and g in the figure are obtained by vertical and horizontal shifts and scalings of y = |x|. Find formulas for f and g. Verify your answers with a graphing utility. y= ]|x|| y= f(x)

Q: 2. The graph of the derivative f' of a function f is shown. (1)On what intervals is f increasing or…

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Q: The graph of a function y = f(x) on the interval [ - 3, oo) is shown below. Use the graph to answer…

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Q: 7. Sketch the graph of a function that satisfies all of the following conditions. is an even…

A: Note that there are many possibility to draw the graph that satisfy all the given conditions.

Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: This question is related to differentiation, we will use basic rules of differentiation to solve it.

Q: 1. The graph of function f(x) is shown below. y f(x) (a) By using the graph of f, explain how we…

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Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

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Q: 9. The graph of the function is sketched as follows: Y 38 Determine the interval(s) on which the…

A: By observing  graph in first part function is decreasing in interval [-8,-1] in second part function…

Q: 10. Given the function x1 find f(-125), f(0), f(64), and draw the graph of f(x).

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Q: Graphs A and B are approximate graphs of f and f' for f(x) x28x - 10 So f is decreasing (and f is…

A: Let us find the interval in which f is decreasing:

Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Here we have a graph of f'(x) is

Q: 4. The graph of a function f(x) is given below. 4. In the interval (-00, -3) a) f'(x)>0 and f"(x)>0…

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Q: The graph of f(x) is shown below as a red dashed curve. Drag the movable blue point to obtain the…

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Q: Let P = (x,y) be a point on the graph of y = x- 12. %3! Express the distance, d, from P to the…

A: The given problem is to find the distance function in terms of x where distance between origin and…

Q: The graph of the derivative f' of a function f is shown. y y= f'(x) 2. 4 6. (a) On what intervals is…

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Q: 11. Consider the function f(x) %3D * + 4 (a) Is the point ( 1.-) on the graph of f? (b) If x = -2,…

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Q: The function f(x) is symmetric with respect to the origin (odd function). If f(2)=-3, then f(-2)=

A: Given,          The function fx is symmetric with respect to the origin odd function.…

Q: The graphs below show the first and second derivatives of a function y = f(x). Select a possible…

A: To determine the graph of the function.

Q: 1 Use the given graphs of f and g to estimate the value of f(g(x)) for x = -5, -4, -3, ..., 5. Use…

A: See the attachment

Q: Sketch the graph of the following curves by s stretching the graph of the given functions appr (a)…

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

Q: Determine all values of x, (if any), at which the graph of the function has a horizontal tangent. 6x…

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Q: The graph of f and g are given. Find a formula for the function g.

A: Given graph is

Q: The graph shown is the 1st derivative of function where its domain is R फ़ी An interval where the…

A: topic - strictly  decreasing  interval of function

Q: The following figure shows the graph of a function y = f(x) with domain [0, 2] and range [0, 1]. y -…

A: Consider the function y=fx with domain 0,2 and range 0,1. Find the domain and range of function…

Q: The graph of the derivative f' of a function f is shown. y A y = f'(x) 2 4 6. (a) On what intervals…

A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: Find an expression for the function whose graph is the given curve. (Assume that the points are in…

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Q: The graph of the derivative f' of a function f is shown. y= f'(x) -> х 4 6. (a) On what intervals is…

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

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: The graph of f(x) passes through the point (0, 6). The slope of f at any point P is 5 times the…

A: Given:   Graph passes through point ( 0 , 6)    Slope = 5*y1 = 5(6)  = 30

Q: Where is the function h(x) = |x – 1| + |x + 2| differenti- able? Give a formula for h' and sketch…

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Q: Find the function of the form f (x) = Ca whose graph is given below where A is the point (-4, 625/4)…

A: Given data: The function is given by fx=Cax. Point A is -4,6254 and point b is 0,14

Q: alue over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent…

A: Introduction: Exponents are used in the exponential function, as the name implies. However, an…

Q: 4. Given the graph of y f(x) at right, draw a graph of each of these related functions. ソ=k) a. y=…

A: Transformation of graph: Let us suppose y=f(x) be the graph then  1) the graph of y=f(-x) means…

Q: The graph of f and g are given. Find a formula for the function g.

A: Given graph of function f and g are: To find the formula for function g. Solution: We have fx=x2.…

Q: The graph represents the derivative f' of some function f. Use the given graph of f' to sketch a…

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Q: Based on the graph of the function below, where do the discontinuities of f(x) occur? x = 1, x = -1…

A: Given graph:-

Q: The graph of f and g are given. Find a formula for the function g.

A: we have been given the graph of f and g. where f(x)=x.we have to write the formula for g(x).

Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

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Q: 4 if x < -3 k(x) = Vĩ if x 2 -3 2 of 3: Identify the general shape and direction of the graph of…

A: On the interval [-3, infinity) k(x) = (7/8)(x)1/3

Q: (g) The graphs of the functions f (t) and g (t), for the domain t 2 0 are shown:

A: The rate of change of the value of a function at a point is equal to the slope of the tangent to the…

Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: A graph of a function f is given. y

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Q: 2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd…

A: Recall the following fact.

Q: (b) Let f(z) = -. %3D Find the value(s) of r if the second derivative f"(z) equals zero. (c) For…

A: See the attachment

Q: ,0< x<1 C) graph the following function f(x) = {2 – x , 1< x<2 %3D

A: The graph of the given function is shown below.

Q: A graph of a function f is given. 1 y 1 0 1 X

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Q: The graph of the derivative f' of a function f is shown. y = f'(x) 2 4 6 (a) On what intervals is f…

A: Let's find.

Q: The point (0,0) belongs to the graph of the function g(x). What is the corresponding point on the…

A: Given, g(x)= -f(x)/2 +3 Point (x,y)= (0,0)= (x,g(x))= (0,g(0))

Q: The graph of the derivative f ' of a function f is shown.   (a) On what intervals is f increasing?…

A: According to question graph is giveny=f'(x)

Q: Find the function of the form f(x) = Ca whose graph is given below where A is the point (-4, 625/4)…

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