In Exercises 37-40, draw the graphs of each of the piecewise-defined functions. when x <0 +3 when x >0 37. f(x) = (x +1 whenx < 0 x when x > 0 38. f(x)= Sx² 39. f(x)= when x < 0 when x > 0 [2x – 2 when x < 0 40. f(x)= when x > 0 41. Let f(x) = Å (a) What are the domain and range of f? (b) Sketch the graph of f. (c) Express f as a piecewise-defined function where each of the "pieces" is a constant.

Q: Use the graphs of f and g to evaluate the functions. y = g(x) 3 2 2 3 (a) (f - g)(1) (b) (fg)(1)

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Q: Express the function in the form f • g o h. F(0) = Vsin3 0

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Q: Describe the end behavior of the function f (æ) = -2x+ 3x2 – 5a + 1. f (x) as x → ,f (x)→ as x →

A: We have to describe the end behavior of the function f(x)=-2x4+3x2-5x+1.

Q: Let H(t) be the height of snow in inches as a function of time (in hours) after midnight. How wa…

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Q: What equation represents the transformed function g (x) that is formed by shifting the graphed of…

A: Function is given by

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Q: X-1 At what points is the function) continuous? (х+4) (х-5)

A: Given, x-1(x+4)(x-5)

Q: 39,

A: Step 1:To show that the function f(x)=6x−2 defines a one-to-one (injective) function, we need to…

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Q: (a) Complete the table of values of f(x) for x = -3, -2, –1,0, 1,2, 3. -3 -2 -1 2 3 f(x) (b) Which…

A: x -3 -2 -1 0 1 2 3 f(x) 0.015625 0.0625 0.25 1 4 16 64

Q: Sketch the graph of f (x) = x 2 + 1 over the interval [-2,2]

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Q: * 9) f(x) = -0.1(x + 1)²(x - 2)³

A: To sketch the graph of the following function. fx=-0.1x+12x-23

Q: 2. Let f(x) = # and g(x) = 2x + 3 %3D (a) Find and simplify (f o g)(x) (b) Find and simplify (go…

A: We are solving the first question and for the next question post the question again and also mention…

Q: Use the graphs of f and g to evaluate g(f(2)) y 01 00 (-2,1) g (2,4) (2,-2) (4,3) X

A: We have to find out the value of g(f(2)) using the given graph.

Q: Consider the function f(x) = 1/2(ax)2 − ax, a ≠ 0. (a) Determine the changes (if any) in the…

A: Part (a)

Q: Sketch the graph of f(x) = 1/(x2+1)

A: The graph of f(x) = 1/(x2+1)

Q: et f(x) = 2/x g(x) is the graph of f(x) shifted down 5 units eft 2 units, write a formula for g(x)…

A: Given that  f(x) =2√x  Find the g(x) shifted down 5 units and left 2 units

Q: Decide if the statement is true or false. If the function y = g(x) is strictly decreasing, then y =…

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Q: Use the tables for functions f and g to evaluate each. f(x) g(x) (f - 9)(6) = f(-5) = -5 -3 4 2 1 -5…

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Q: What is the new function for g(x)

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Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…