ANSWER
• Domain: (-∞, ∞)
,• Range: (-∞, ∞)
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,
[tex]h(x)=2x+2[/tex]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 (-∞, ∞).
