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Type: Multiple-Choice
Category: Functions and Relations
Level: Grade 10
Standards: HSF-BF.B.4, HSF-BF.B.4b
Author: nsharp1
Created: 5 years ago

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Functions and Relations Question

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Let

$f(x) = x^2$ and

$g(x) = sqrt(x)$ .

Grade 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b

When finding

$h(x)$ , what is the importance of the domain?

It has no special importance.
It shows that, even though $h(x)$ and $h_2(x)$ seem to be the same function, they have different domains.
It is necessary to see that the domain is all real numbers because the domain of inverse functions, when composed with the original function, needs to be all real numbers.
It means that the absolute value sign can be dropped, since the domain is zero and positive numbers, so the function simply becomes $x$ .