Determine whether the statement The slope of the graph of the inverse tangent function is positive for all x is true or false. If it is false, explain why or give an example that shows it is false.
Determine whether the statement The slope of the graph of the inverse tangent function is positive for all x is true or false. If it is false, explain why or give an example that shows it is false.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Concept explainers
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:
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Determine whether the statement The slope of the graph of the inverse tangent function is positive for all x is true or false. If it is false, explain why or give an example that shows it is false.
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