Question

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)
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]
.
The average rate of change is negative on the interval left bracket 0 comma 1 right bracket and on the interval left bracket 3 comma 4 right bracket .
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Answer 1

I don't see the graph image. Could you attach it (or paste the long description)?

Meanwhile, here is how to decide which intervals have a negative average rate of change:

- For an interval [a, b] with b > a, the average rate of change is (f(b) − f(a)) / (b − a). Because b − a > 0, the average rate is negative exactly when f(b) < f(a).
- So for each candidate interval ([0,1], [1,3], [3,4], [6,7]) read the graph values at the endpoints and check whether the function value at the right endpoint is lower than at the left endpoint.

If you upload the image or give the endpoint values, I will check and tell you which choice is correct.