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Chapter 3: Q.533 (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[2,∞).

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 all yvalues that the function takes as output values.
03

Step 3. Explanation

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

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

From the graph, it is clear that the output values that the function results are role="math" localid="1646873097781" y≥2.

So, the range is[2,∞).

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