Name:    MCR3U 5.4 Modelling

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

The x-intercept(s) for the sine function in the interval from 0° to 360° is (are)
 a. 0° c. 360° b. 180° d. all three values are x-intercepts

2.

The x-intercept(s) for the cosine function in the interval from 0° to 360° is (are)
 a. 90° c. 90° and 270° b. 270° d. 0°, 90°, and 270°

3.

Which of the following properties do the sine and cosine functions have in common?
 a. x-intercepts c. amplitude b. y-intercepts d. intervals of increase

4.

Determine the amplitude and period of the function .
 a. amplitude –5, period 360° c. amplitude 5, period 90° b. amplitude 5, period 360° d. amplitude 5, period 1440°

5.

What is the effect on a cosine function when k changes from 1 to 2?
 a. the amplitude doubles b. the period becomes half of the original value c. the graph moves up one unit d. the graph moves down one unit

6.

A sinusoidal function has an amplitude of 4 and a period of 720°. What is a possible equation for this function?
 a. c. b. d.

7.

Which equation can be used to model the graph of the function shown?
 a. c. b. d.

8.

Determine the amplitude, the period, the phase shift, and the vertical shift of the function with respect to .
 a. amplitude 3period 90°phase shift right 50°vertical shift up 2 units c. amplitude 2period 90°phase shift right 50°vertical shift up 3 units b. amplitude 3period 180°phase shift left 50°vertical shift up 2 units d. amplitude period 90°phase shift left 50°vertical shift up 2 units