Use the graph of y = r(x) shown below to answer the questions. Assume this is the entire graph. r(x) 30 20 10 0- -10 -20 -30 -40 -50 yes no (a) Determine the following quantities. If a quantity is undefined, enter "DNE". r(0) + 10 20 30 40 50 60 70 80 90 100 ¹(-40) ¹(r(35)) r(r-1¹(-50)) (b) Find the domain of the inverse function 1. Write your answer in interval notation. ✔ ---Select--- ¥ (c) Decide if the function y = [r(x) is an invertible one and why. Is y r(x) invertible? ---Select--- V Justification: ---Select--- ✓ ---Select--- The negative portion of the graph will be reflected across the x-axis, resulting in a graph that will NOT pass the horizontal line test. The absolute value will ensure everything is positive, thereby ensuring the graph is increasing, and will hence pass the horizontal line test.
Use the graph of y = r(x) shown below to answer the questions. Assume this is the entire graph. r(x) 30 20 10 0- -10 -20 -30 -40 -50 yes no (a) Determine the following quantities. If a quantity is undefined, enter "DNE". r(0) + 10 20 30 40 50 60 70 80 90 100 ¹(-40) ¹(r(35)) r(r-1¹(-50)) (b) Find the domain of the inverse function 1. Write your answer in interval notation. ✔ ---Select--- ¥ (c) Decide if the function y = [r(x) is an invertible one and why. Is y r(x) invertible? ---Select--- V Justification: ---Select--- ✓ ---Select--- The negative portion of the graph will be reflected across the x-axis, resulting in a graph that will NOT pass the horizontal line test. The absolute value will ensure everything is positive, thereby ensuring the graph is increasing, and will hence pass the horizontal line test.
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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