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Q. 14

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Precalculus Enhanced with Graphing Utilities
Found in: Page 889
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

In Problems 13–32, use the accompanying graph of y = f(x).

What is the range of f?

The range is -,.

See the step by step solution

Step by Step Solution

Step. 1 What is range?

Range of a function is the value of the function in the defined domain of that function. We are given with a graph it means all the values of on y-axis we have in our graph is our range.

Step. 2 Calculation of range.

See the interval of [-8,-6),

in this interval the value of f(x) goes from (0,).

Similarly see the interval of (-6,-4),

in this interval the value of f(x) goes from (-,2).

With the help of only these two intervals we can take union of these intervals and we get

(-,2) (0,) = (-,).

Hence, the range of the function is R.

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