Question

Use the image to answer the question.

One solid and one dotted curve are drawn in a coordinate plane. The axes range from negative 2 to 2, both by 1-unit increments.
▶Click for Long Desc

Compare the graphs of f(x)=−x−−√
and g(x)=−x−−√3
. Which of the following features about the graphs is true?

(1 point)
Responses

The graphs are both increasing.
The graphs are both increasing.

The graphs are both decreasing.
The graphs are both decreasing.

The graphs have the same ranges.
The graphs have the same ranges.

The graphs have the same domains.

Answer 1

The graphs have the same domains.

Adding or subtracting a constant (vertical shift) does not change the domain of a function, so f and g are defined on the same x-values.