Precalculus 3.1 – 3.3 Quiz Review

The amplitude of a periodic function is 4.5 units and the maximum value of the function is 6. What is the minimum value of the function?

• -3

• 1.5

• 9

• -4.5

A periodic function goes through 12 cycles in 7 minutes. What is the period of one cycle in seconds?

• 42 seconds

• 35 seconds

• 30 seconds

• 28 seconds

For the periodic function, a portion of the graph is shown below. Given that f(-3) = -2, find the value of the period, k. It is known, for any integer value of n, that f(x + nk) = f(-3). What is the ordered pair on the graph of f when n = 2?

• k = 10; f(18) = -3

• k = 12; f(27) = -2

• k = 12; f(21) = -2

• k = 10; f(-22) = -3

A portion of the periodic function y = g(x) is shown above. Use this graph to analyze the function and complete the following. State the amplitude the period, and midline for y = g(x).

• amplitude: 8, period: 12, midline: y = 1

• amplitude: 8, period: 6, midline: y = 2

• amplitude: 5, period: 12, midline: y = 1

• amplitude: 4, period: 12, midline: y = 1

A portion of the periodic function y = g(x) is shown above. Use this graph to analyze the function and complete the following.

For any integer value, n, state the intervals where the graph of y = g(x) is CONCAVE DOWN.

• (0 ± 12n, 6 ± 12n)

• (0 ± 6n, 6 ± 6n)

• (-6 ± 12n, 0 ± 12n)

• (-6 ± 6n, 0 ± 6n)

A portion of the periodic function y = g(x) is shown above. Use this graph to analyze the function and complete the following.

For any integer value, n, state an INTERVAL OF INCREASE.

• [-3 ± 12n, 3 ± 12n]

• [-6 ± 12n, -3 ± 12n]

• [-6 ± 6n, -3 ± 6n]

• [5 ± 12n, -3 ± 12n]