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Show all work such as tables on finding the domain and range of:a) h(x)= 2x+2

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ANSWER

• Domain: (-∞, ∞)

,

• Range: (-∞, ∞)

Step-by-step explanation

The domain is the set of all the x-values for which the function exists. The range is the set of all the y-values the function can take in the domain.

This is a linear function,


h(x)=2x+2

As we can see, there are no restrictions for x - i.e. x can take any value. Therefore, the domain is all real values.

The range is usually restricted by horizontal asymptotes, but since this is a linear function, it has no asymptotes and, therefore, the range is also all real values.

Hence, the domain is the set (-∞, ∞) and the range is the set (-∞, ∞).

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