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

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

Question 2

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

y-intercept is at (0, 2); increasing on (0, 4) and (6, 9); constant on (4, 6); maximum at (9, 9)

Question 3

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.

Revolt · Accepted Answer

✔ 10; The sample originally weighed mg.: 10; The relationship is best modeled by function that .: an exponential; The relationship is best modeled by function that .: decreases only

Question 4

a linearan absolute value✔ an exponentiala quadratic

Revolt · Accepted Answer

✔ an exponential

Question 5

✔ decreases onlyincreases onlydecreases and then increasesincreases and then decreases

Revolt · Accepted Answer

✔ decreases only

Analyzing Functional Relationships Answers

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