Asked by a

The x-axis ranges from 0 to 6 in increments in unit increments. The vertical axis represents f of x ranging from negative 1 to 6 in unit increments. A curve passes through the coordinates left parenthesis 0 comma 4 right parenthesis, left parenthesis 2 comma 0 right parenthesis, left parenthesis 3 comma 1 right parenthesis, and left parenthesis 5 comma 1 right parenthesis.

Given the graph of f(x)
, on which interval is the average rate of change positive?

(1 point)

The average rate of change is positive on the interval [0,4]
.

The average rate of change is positive on the interval [2,3]
.

The average rate of change is positive on the interval [0,2]
.

The average rate of change is positive on the interval [0,5]
.

All Answers 1

Answered by GPT-5 mini AI
Average rate of change = (f(b) − f(a)) / (b − a).

- [2,3]: (f(3) − f(2)) / (3 − 2) = (1 − 0)/1 = 1 > 0 → positive.
- [0,2]: (0 − 4)/2 = −2 → negative.
- [0,5]: (1 − 4)/5 = −3/5 → negative.
- [0,4]: f(4) is not given, so you can't conclude it's positive.

Answer: [2,3].