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6. Determine a parent function that matches each set of characteristics. a) The graph is neither even nor odd, and as x18, y48. b) (-∞,0) and (0, ∞) are both intervals of decrease. c) The domain is [0, 0).

6. Determine a parent function that matches each set of characteristics. a) The graph is neither even nor odd, and as x18, y48. b) (-∞,0) and (0, ∞) are both intervals of decrease. c) The domain is [0, 0).

Calculus: Early Transcendentals
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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a. Lesson 1.3 6. Determine a parent function that matches each set of characteristics. a) The graph is neither even nor odd, and as *48, y→8. b) (-∞,0) and (0, ∞) are both intervals of decrease. c) The domain is [0, 00). 9 10 35 25 and time odd, or neither. 7. Determine algebraically if each function is even, a) f(x) = |2x| c) f(x) = x + 4 2 b) f(x) = (-x)² d) f(x) = 4x + 3x³ − 1 8. Each set of characteristics describes a parent function that has been shifted. Draw a possible graph, and state whether the graph is or each of a function: 5-x = 2 a) continuous. There is a vertical asymptote at x = 1 and a horizontal asymptote at y = 3. b) The range is {f(x) ER-3 ≤ f(x) = -1}. c) The interval of increase is (-∞, ∞), and there is a horizontal asymptote at y = -10. characteristics: 9. Sketch a graph that has the following The function is odd. The function is continuous. • The function has zeros at x = -3, 0, and 3. • The function is increasing on the intervals x=(-∞, -2) or x=(2, *). x= (-2,2). • The function is decreasing on the interval
Transcribed Image Text:a. Lesson 1.3 6. Determine a parent function that matches each set of characteristics. a) The graph is neither even nor odd, and as *48, y→8. b) (-∞,0) and (0, ∞) are both intervals of decrease. c) The domain is [0, 00). 9 10 35 25 and time odd, or neither. 7. Determine algebraically if each function is even, a) f(x) = |2x| c) f(x) = x + 4 2 b) f(x) = (-x)² d) f(x) = 4x + 3x³ − 1 8. Each set of characteristics describes a parent function that has been shifted. Draw a possible graph, and state whether the graph is or each of a function: 5-x = 2 a) continuous. There is a vertical asymptote at x = 1 and a horizontal asymptote at y = 3. b) The range is {f(x) ER-3 ≤ f(x) = -1}. c) The interval of increase is (-∞, ∞), and there is a horizontal asymptote at y = -10. characteristics: 9. Sketch a graph that has the following The function is odd. The function is continuous. • The function has zeros at x = -3, 0, and 3. • The function is increasing on the intervals x=(-∞, -2) or x=(2, *). x= (-2,2). • The function is decreasing on the interval
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