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)
Responses

The average rate of change is negative only on the interval [6,7]
.
The average rate of change is negative only on the interval left bracket six comma seven right bracket .

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

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

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

Answer 1

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

Reason: slope on [1,3] = (0−1)/(3−1) = −1/2 < 0 and on [6,7] = (0−2)/(7−6) = −2 < 0.