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Q. 14

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Found in: Page 889

### Precalculus Enhanced with Graphing Utilities

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

# In Problems 13–32, use the accompanying graph of $y=f\left(x\right)$.What is the range of $f$?

The range is $\left(-\infty ,\infty \right).$

See the 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 $\left(0,\infty \right)$.

Similarly see the interval of $\left(-6,-4\right)$,

in this interval the value of f(x) goes from $\left(-\infty ,2\right)$.

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

$\left(-\infty ,2\right)\cup \left(0,\infty \right)=\left(-\infty ,\infty \right)$.

Hence, the range of the function is R.

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