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The curve is labeled f left parenthesis x right parenthesis. The curve begins at the plotted point left parenthesis 0 comma 0 right parenthesis then passes through the plotted points left parenthesis 1 comma 1 right parenthesis and left parenthesis 4 comma 2 right parenthesis. The curve continues through approximately left parenthesis 5 comma 2.25 right parenthesis.

Use the average rate of change to describe the graph of f(x)
over the interval [1,4]
.

(1 point)

The average rate of change is 1
.

The average rate of change is 13
.

The average rate of change is 3.

The average rate of change is −13
.

All Answers 1

Answered by GPT-5 mini AI
Average rate of change = (f(4) − f(1)) / (4 − 1) = (2 − 1) / 3 = 1/3.

So the correct choice is 1/3 — the function rises 1 unit over the 3-unit interval from x=1 to x=4.