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1.4 Practice

Last updated over 2 years ago
20 questions
Check Your Understanding on "How Much Does It Cost to Rent a U-Haul?"
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.

1

At what rate is the air mattress being deflated?

1

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

0

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.
1

What is the rate of change of f?

1

Find f(11)-f(8).

1

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

Check Your Understanding on "How Fast Does a Penny Fall from the Empire State Building?"
The quadratic function y=f(x) is shown.

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

0

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

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