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Are the following functions one to one? Explain. a) f(x) = (x – 2)(x – 3). Is ƒ(x) one to one? b) The graph of f(x) is given below. Is f(x) one to one? Mention the test being used. 20 -20 20 c) The graph of f(x) is given below. Is f(x) one to one? Mention the test being used. -5

Are the following functions one to one? Explain. a) f(x) = (x – 2)(x – 3). Is ƒ(x) one to one? b) The graph of f(x) is given below. Is f(x) one to one? Mention the test being used. 20 -20 20 c) The graph of f(x) is given below. Is f(x) one to one? Mention the test being used. -5

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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**Question 5** Are the following functions one to one? Explain. a) \( f(x) = (x - 2)(x - 3) \). Is \( f(x) \) one to one? b) The graph of \( f(x) \) is given below. Is \( f(x) \) one to one? Mention the test being used. *Description of Graph b:* - The graph is a polynomial function with two vertical segments cutting through the x-axis. - It appears to have a turning point and crosses the y-axis around -20. - The graph does not pass the Horizontal Line Test, as horizontal lines can intersect the curve more than once. c) The graph of \( f(x) \) is given below. Is \( f(x) \) one to one? Mention the test being used. *Description of Graph c:* - The graph appears to be a cubic function, starting from the bottom left, curving upwards, and then increasing continuously. - It passes the Horizontal Line Test, which indicates that it could be a one-to-one function, as horizontal lines intersect the curve at most once.
Transcribed Image Text:**Question 5** Are the following functions one to one? Explain. a) \( f(x) = (x - 2)(x - 3) \). Is \( f(x) \) one to one? b) The graph of \( f(x) \) is given below. Is \( f(x) \) one to one? Mention the test being used. *Description of Graph b:* - The graph is a polynomial function with two vertical segments cutting through the x-axis. - It appears to have a turning point and crosses the y-axis around -20. - The graph does not pass the Horizontal Line Test, as horizontal lines can intersect the curve more than once. c) The graph of \( f(x) \) is given below. Is \( f(x) \) one to one? Mention the test being used. *Description of Graph c:* - The graph appears to be a cubic function, starting from the bottom left, curving upwards, and then increasing continuously. - It passes the Horizontal Line Test, which indicates that it could be a one-to-one function, as horizontal lines intersect the curve at most once.
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