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Chapter 3: Q. 520 (page 362)

In the following exercises, a). graph each function b). state its domain and range. Write the domain and range in interval notation.

f(x)=5x+1

Short Answer

Expert verified

a). The graph of the function is

b). The domain in interval notation is [-3,3]

The range, in interval notation, is [-14,16]

Step by step solution

01

Step 1. Given Information

We have functionf(x)=5x+1

02

Part (a) Step 1. Graph of this function.

The graph of the function f(x)=5x+1 is

03

Part (b) Step 1. Domain of this function

This is function has a value when xis from -3to 3. Therefore, the domain in interval notation is[-3,3]

04

Part (b) Step 2. Range of this function

This function values, or y-values go from -14to 16. Therefore, the range, in interval notation, is[-14,16]

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