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)

The graphs have the same ranges.

The graphs are both decreasing.

The graphs are both increasing.

The graphs have the same domains.
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Answer 1

The graphs are both decreasing.

Reason: √x and ∛x are increasing functions, so −√x and −∛x are both decreasing. (Their domains/ranges differ: domain(f) = [0,∞), domain(g) = (−∞,∞); range(f) = (−∞,0], range(g) = (−∞,∞).)