1

(05.07 MC) The table provides various values, including select minimums and maximums, of a particular cosine functionf(x).

Angle		- 2/3	- /2	- /3	0	/2
f(x)	4	5/2	1	- 1/2	2	1	4

What is the period of the function that contains these points?

A	/4
B	/2
C
D	2

2.

(05.07 MC) What transformation is required to obtain the graph of the functionf(x) = 5cosxfrom the graph ofg(x) = cosx?

A	Horizontal shrink by a factor of 1/5
B	Horizontal stretch by a factor of 5
C	Vertical stretch by a factor of 1/5
D	Vertical stretch by a factor of 5

3.

(05.07 MC) Which of the following functions has an amplitude of 4 and a phase shift of/4

A	f(x) = 4cos(2x /4) + 4
B	g(x) = -2cos(2x+ /4) + 4
C	h(x) = -4cos(4x - ) + 3
D	j(x) = 4cos(4x + ) - 2

4.

(05.07 MC) A theme park guest takes an innertube into the wave pool. The innertube moves up and down in a way such that the height h of the innertube, in meters, above the floor of the pool can be modeled by the functionh=asinbx+ 3. When the wave pool is turned on, the innertube's height fluctuates between 2 meters and 4 meters, with an interval of 8 seconds between maximums. Based on the context of the problem, what are the values ofaandb?

A	a= 1 and b= /4
B	a= 1 and b = /8
C	a= 2 and b = /4
D	a= 2 and b = /8

5.

(05.07 MC) The distance from the ground of a person riding on a Ferris wheel can be modeled by the equationd= 30sin(/30 t) + 15, wheredrepresents the distance, in feet, of the person above the ground aftertseconds. How long will it take for the Ferris wheel to make one revolution?

A	60 seconds
B	30 seconds
C	20 seconds
D	15 seconds