In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse function f.45.46.47.y = xy = xy3(1, 2),y= x(0, 1).(2. )(2, 1)(1, 0) 3 x(0, –1)-33 X-3-33 X(-1, -1)(-2, -2)(-2, -2)48.49.50.y= xy = xyy = x3(-2, 1).-33 X3 x2 x(1, -1)-라

Answered: In Problems 45-50, the graph of a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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4. 7. Function fis given below. Find the inverse of the function. f(x)=√x+4-4 A. (x)=√x-4+4 B. ¹(x)=(√x+4-4) C. f(x)=(x-4)³ +4 D. (x) = (x+4)³ - 4 1 *Show/Illustrate/Explain all work that leads to your answer*
5. Given a function f(x) = (x - 1)² + 5 What would be the equation of the function after the following transformations, - 2(f(3(x + 1)) - 5
5. 1. 5. 3. The graph of the function y = f(x) is given below, on the left, while the graph of the function y = g(x) is given below, on the right. 4. 4. 3 2 2 1. 1. -5 -4 -2 -1 1 2 3. -2 2. -5 -4 -3 -1 -2 -2 -3 -3 -4 -4 -5 -5 y = f(x) (x)8 = A (! g(x) = a f(x-b)+c. Express g(x) as a transformed version of f(x), i.e. determine constants a; b; c so that (!! Express f(x) as a transformed version of g(x), i.e. determine constants a; b; c so that f(x) = a g(x-b)+c. Determine values of x solving the equation f(x) = 1.5 (!! %3D Sketch your own coordinate system, and sketch the graph of y = 2f(x + 3) - 1.
Suppose that a, b, c, and d'are integers, and that a is positive and even, b is positive and odd, cis negative and even, and d'is negative and odd. Figure 2 gives the graphs of four power functions. For each of the equations that follow, state which of the graphs it could describe, if any. it. 4. (M) Figure 2: The graphs of four power functions (a) y = cz" (b) y = az“ (c) y = ba" (d) y = bz (e) y = cz ) y = dz°
3. Describe the transformation that takes the graph of function f to the graph of function g. a. f(x) = e" and g(x) = -e" +2.7 b. f(x) = x³ and g(x) = (-x +3.1)5 + 1 c. f(x) = |æ| and g(x) = |x| – 26 d. f(x) = Va and g(x) = -Vx – 0.004
1. Given an example of the following: (a) a function that is even (b) a function that is odd (c) a function that is neither even nor odd
2. Each of the following tables shows a collection of points (x, f(x)) from a function f. For each table, determine whether the f is possibly linear, possibly exponential, or cannot be either. If you decide that f is exponential or linear, provide the rule for the function. 2 3 -1 0 1 (a) f(x) | 5 2 -1 -4 -7 -1 0 1 2 3 (b) f (x) | 32 | 16 | 8 4 2 -1 0 1 2 3 (c) f (x) 2 4 7 11 | 16
4. Give the formula of a function that has each of the following domains. There are many possible answers. You can just pick one. (a) Domain x E (-0,00) (b) Domain x e (-0,3) U (3, 0) (c) Domain x e [5, 00)

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