Question

Use the image to answer the question.

A curve labeled p of x and five points on the curve are plotted on a coordinate plane. The curve begins on the x-axis sloping upward from left to right, passes through quadrant 2, and then rises through quadrant 1.
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The values on the x-axis range from negative 4 to 13 in increments of 1. The values on the y-axis range from negative 1 to 5 in increments of 1. The curve passes through the following plotted points: left parenthesis negative 4 comma 0 right parenthesis, left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 0 comma 2 right parenthesis, left parenthesis 5 comma 3 right parenthesis, and left parenthesis 12 comma 4 right parenthesis.

Compare the average rates of change for the graphed square root function p(x)=x+4−−−−√
and the cube root function f(x)=x+4−−−−√3
over the interval [−4,−3]
.

(1 point)

The functions have the same average rate of change of 1.

The square root function has the greater average rate of change.

The cube root function has the greater average rate of change.

The functions have the same average rate of change of 0.

Answer 1

Both change from 0 at x = −4 to 1 at x = −3, so the average rate = (1−0)/(−3−(−4)) = 1/1 = 1 for both. Thus: The functions have the same average rate of change of 1.