1.1 Practice
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Last updated over 2 years ago
16 questions
Check Your Understanding on "Can We Predict Maximum Heart Rate?"
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Write a function for the volume of a sphere, V(r), with radius, r.
Write a function for the volume of a sphere, V(r), with radius, r.
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What is the independent variable of this function?
What is the independent variable of this function?
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What is the dependent variable?
What is the dependent variable?
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Describe how increasing the radius affects the volume.
Describe how increasing the radius affects the volume.
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What is a reasonable domain for this function?
What is a reasonable domain for this function?
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What is a reasonable range for this function?
What is a reasonable range for this function?
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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.
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.
Check Your Understanding on "How Does the Food Industry Set Prices?"
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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How long does the trip take him total?
How long does the trip take him total?
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How many minutes is Easton at the grocery store? How do you know?
How many minutes is Easton at the grocery store? How do you know?
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On which time interval(s) is d decreasing? What does this mean in the context of this problem?
On which time interval(s) is d decreasing? What does this mean in the context of this problem?
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At which time(s) is Easton exactly 1 mile from his home?
At which time(s) is Easton exactly 1 mile from his home?
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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.
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.