1.4 Practice

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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.

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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.

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

What is the rate of change of f?

Find f(11)-f(8).

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

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The quadratic function y=f(x) is shown.

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1.4 Practice

At what rate is the air mattress being deflated?

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 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?

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?