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) 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 ?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 15CC
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
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 ?
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