Show the graph of a function y = ƒ(x). Copy | Ch 1.6 - 15E

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 15E Chapter 1.6

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 15E

Show the graph of a function y = ƒ(x). Copy the graph and draw in the line y = x.Then use symmetry with respect to the line y = x to add the graph of f–1 to your sketch. (It is not necessary to find a formula for f–1) Identify the domain and range of f–1

Step-by-Step Solution:

Step 1 of 3:

In this problem, we need to draw the sketch of the function, the inverse of the function and we have to find domain and range of

Step 2 of 3:

We gave the function  and we have a line

Clearly if we put x = 0 then we get  and if we put x = 3 then we get  that is we get the coordinate

Now we draw the sketch for the function with the coordinate

Now we draw the sketch for the inverse function, using the transformation, starting at (0, 3) and ending at (6, 0) which is shown in the figure.

Step 3 of 3

Chapter 1.6, Problem 15E is Solved
Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

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Show the graph of a function y = ƒ(x). Copy | Ch 1.6 - 15E

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