1.4 Practice

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20 questions

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The graph shows a function V which gives the volume of air in an air mattress, V(t), t minutes after it begins to be deflated. V(t) is measured in cubic feet.

The function f is a linear function with f(4) − f(1) = −27.

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1.4 Practice

1.4 Practice

At what rate is the air mattress being deflated?

Find the volume of air remaining in the mattress after 5 minutes.

Does the air mattress lose air at a faster rate during the first 5 minutes it is being deflated or during the last 5 minutes it is being deflated? Explain.

What is the rate of change of f?

Find f(11)-f(8).

Find \frac{f(20)-f(15)}{5}.

Find the average rate of change of f on the interval: [-1,0].

Find the average rate of change of f on the interval: [0,1].

Find the average rate of change of f on the interval: [1,2].

Find the average rate of change of f on the interval: [2,3].

Find the average rate of change of f on the interval: [3,4].

Find the average rate of change of f on the interval: [4,5].

Find the average rate of change of f on the interval: [5,6].

Find the average rate of change of f on the interval: [6,7].

Find the rate of change of the average rates of change.

Is the graph of f concave up or concave down? How does this support your answer in #15?

At what rate is the air mattress being deflated?

Find the volume of air remaining in the mattress after 5 minutes.

Does the air mattress lose air at a faster rate during the first 5 minutes it is being deflated or during the last 5 minutes it is being deflated? Explain.

What is the rate of change of f?

Find f(11)-f(8).

Find \frac{f(20)-f(15)}{5}.

Find the average rate of change of f on the interval: [-1,0].

Find the average rate of change of f on the interval: [0,1].

Find the average rate of change of f on the interval: [1,2].

Find the average rate of change of f on the interval: [2,3].

Find the average rate of change of f on the interval: [3,4].

Find the average rate of change of f on the interval: [4,5].

Find the average rate of change of f on the interval: [5,6].

Find the average rate of change of f on the interval: [6,7].

Find the rate of change of the average rates of change.

Is the graph of f concave up or concave down? How does this support your answer in #15?