Question

Use the image to answer the question.

A coordinate plane for f of x versus x.
▼Click for Long Desc
The x-axis ranges from 0 to 7 in increments in unit increments. The vertical axis represents f of x ranging from negative 2 to 3 in unit increments. A line passes through the coordinates left parenthesis negative 1 comma 0 right parenthesis, left parenthesis 1 comma 1 right parenthesis, left parenthesis 3 comma 0 right parenthesis, left parenthesis 5 comma 2 right parenthesis, left parenthesis 6 comma 2 right parenthesis, left parenthesis 7 comma 0 right parenthesis.

Describe the graph of f(x)
by selecting the correct statement.

(1 point)

The average rate of change is negative only on the interval [1,3]
.

The average rate of change is negative on the interval [0,1]
and on the interval [3,4]
.

The average rate of change is negative only on the interval [6,7]
.

The average rate of change is negative on the interval [1,3]
and also on the interval [6,7]
.

Answer 1

The correct statement is: The average rate of change is negative on the interval [1,3] and also on the interval [6,7].

Reason: f(1)=1 and f(3)=0 (decrease), and f(6)=2 and f(7)=0 (decrease). On [0,1] f(0)=0.5 → f(1)=1 (increase) and on [3,4] f(3)=0 → f(4)=1 (increase).