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1.1 Practice

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Last updated over 2 years ago
16 questions
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Question 1
1.

Write a function for the volume of a sphere, V(r), with radius, r.

Question 2
2.

What is the independent variable of this function?

Question 3
3.

What is the dependent variable?

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Question 4
4.
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Question 5
5.
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Question 6
6.
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Question 7
7.
Question 8
8.

Describe how increasing the radius affects the volume.

Question 9
9.

What is a reasonable domain for this function?

Question 10
10.

What is a reasonable range for this function?

Question 11
11.

The length of the skid mark left by a car when braking, in feet, can be used to predict the speed, in miles per hour, at which the car was driving when it hit the brakes. The speed of the car is given by the square root of 21 times the length of the skid mark. Use function notation to write this function rule.

Let l be the length of the skid mark and S(l) be the estimated speed of a car, in mph, that left a skid mark of l feet.

Easton walks from his house to the bank and then to the grocery store before returning home. The graph shows his distance from home, d(t), in miles, t minutes after leaving his home.

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Question 12
12.

How long does the trip take him total?

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Question 13
13.

How many minutes is Easton at the grocery store? How do you know?

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Question 14
14.

On which time interval(s) is d decreasing? What does this mean in the context of this problem?

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Question 16
16.

A function f is decreasing for −5 < x < 0, increasing for 0 < x < 2 and constant for x > 2. Sketch a possible graph of f.

Question 15
15.

At which time(s) is Easton exactly 1 mile from his home?