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Chapter 3: Q.534 (page 362)

In the following exercises, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Short Answer

Expert verified

The domain is-∞,∞and the range is-∞,∞.

Step by step solution

01

Step 1.  Given information 

Consider the below graph of a function.

The main objective is to determine the domain and range of the function in interval notation.

02

Step 2. Definitions. 

  • The domain of a function is defined as the set of all x-values that the function takes as input values.
  • The range of a function is defined as the set of ally-values that the function takes as output values.
03

Step 3. Explanation.

From the given graph, the input values of the function are all the x-values.

So, it is clear that the domain of the function is all the x-values, in interval notation, the domain is-∞,∞.

From the graph, it is clear that the output values that the function results are all the y-values.

So, the range of the function in interval notation is-∞,∞.

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