Analyzing Functional Relationships

Question 1

The path of a basketball during a free throw can be modeled with the function shown, where x is time, in tenths of a second, since releasing the ball and f(x) represents height in feet. Which statements correctly describe this function?

Revolt · Accepted Answer

A: The basketball reaches a maximum height of 7 feet.; D: The height of the ball at time 0 is 6 feet.; E: The graph is symmetric about the line x = 5.5.

Question 2

A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground?

Revolt · Accepted Answer

B: 2 seconds

Question 3

Marcus tracked the changes in his sales over a 12-month period and graphed the results. Over which interval was the change in Marcus’s sales constant?

Revolt · Accepted Answer

B: (0, 5)

Question 4

The table shows the amount of a radioactive sample that remains after a certain number of days. Use the data in the table to describe the relationship between the number of milligrams remaining and days. The sample originally weighed mg. The relationship is best modeled by function that .

Revolt · Accepted Answer

D: 10

Question 5

The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-values are the number of bacteria. How many bacteria are there initially?

Revolt · Accepted Answer

B: 2.7

Question 6

A delivery up to 1 mile costs $10. For any distance over 1 mile, there is an additional charge at the rate of $5 per mile, with a limit of 5 miles. Which graph represents this scenario?

Revolt · Accepted Answer

C:

Question 7

Question 7

Revolt · Accepted Answer

To graph this relationship, I would plot the height on the y-axis and time in weeks on the x-axis. The y-intercept is (0, 2) because the plant starts at 2 inches. From x = 0 to x = 4, the graph is a line with a slope of 1, reaching a height of 6 inches. From x = 4 to x = 6, the plant stops growing, so the graph is a horizontal line at y = 6. From x = 6 to x = 9, the plant grows again at a slope of 1, ending at a maximum height of 9 inches at point (9, 9).

Question 8

Question 8

Revolt · Accepted Answer

C: an exponential

Question 9

Question 9

Revolt · Accepted Answer

A,B,C,D

Question 10

Question 10

Revolt · Accepted Answer

A: decreases only

Analyzing Functional Relationships Answers

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Analyzing Functional Relationships Answers

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