Question

Use the image to answer the question.

A coordinate plane for f of x versus x.
▶Click for Long Desc

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

(1 point)

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 only on the interval [1,3]
.

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

Answer 1

I can’t see the image you mentioned. To pick the correct statement I need either the picture or the function values at the endpoints of the given intervals (x = 0,1,3,4,6,7) or a short description of whether the graph is rising/falling on each interval.

How to decide once you supply that:
- Average rate of change on [a,b] = (f(b) − f(a)) / (b − a).
- It is negative exactly when f(b) < f(a), i.e. the graph’s y-value at the right endpoint is lower than at the left endpoint.

If you paste the endpoint values or a brief description of the graph on [0,1], [1,3], [3,4], and [6,7], I’ll compute which of the four answer choices is correct.