(a) Explanation Given information: Consider one-to one function. If the elements of first set is related to only one element in the second set, then the Function is said to be one-to-one function. By using horizontal line test we can identify the one-to-one function from the graph... (b) To determine To define: the inverse function f − 1 of one-to-one function f and explain the procedure to Obtain the graph of f − 1 from the graph of f.

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Question

Chapter 1, Problem 12CC

(a)

To determine

To define: the one-to-one function and explain the procedure to identify this function from graph.

(b)

To determine

To define: the inverse function f−1 of one-to-one function f and explain the procedure to

Obtain the graph of f−1 from the graph of f.

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Chapter 1, Problem 11CC

Chapter 1, Problem 13CC

Students have asked these similar questions

a) What is a one-to-one function? How can you tell if a function is one-to-one by looking at its graph?(b) If f is a one-to-one function, how is its inverse function f -1 defined? How do you obtain the graph of f -1 from the graph of f ?

(a) Suppose f is a one-to-one function with domain A and range B. How is the inverse function f-1 defined? What is the domain of f-1? What is the range of f-1 ?(b) If you are given a formula for f, how do you find a formula for f-1 ?(c) If you are given the graph of f, how do you find the graph of f -1 ?

(a) Graph the one-to-one function f (x) =x 2, x >= 0, together with its inverse and the line y = x, x >= 0. (b) Express the inverse of f as a function of x.

Chapter 1 Solutions

Biocalculus

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the one-to-one function and explain the procedure to identify this function from graph.

Solution Summary: The author explains the procedure to identify the one-to-one function from graph by using horizontal line test. The inverse function f-1 reverses the function.