Concept explainers
True or False The graph of the function is increasing on the interval . (p. 84)
Whether the given statement is true or false.
Answer to Problem 6AYU
Solution:
True.
Given:
The given statement is
“The graph of the function is increasing on the interval .”
Explanation of Solution
A function is said to be increasing in an interval , if for any 2 points and in , with , we have .
Here, let the 2 points be and .
Therefore, we have and .
Thus, we get , where .
Similarly, we can see that is always true for any 2 points, such that , in the given interval.
Therefore, the given statement is true.
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Precalculus Enhanced with Graphing Utilities
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