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.
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 mc004-1.jpg.
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.
mc006-1.jpg
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 

Which equation can be used to model the graph of the function shown?
mc007-1.jpg
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 

Determine the amplitude, the period, the phase shift, and the vertical shift of the function mc008-1.jpg with respect to mc008-2.jpg.
a.
amplitude 3
period 90°
phase shift right 50°
vertical shift up 2 units
c.
amplitude 2
period 90°
phase shift right 50°
vertical shift up 3 units
b.
amplitude 3
period 180°
phase shift left 50°
vertical shift up 2 units
d.
amplitude mc008-3.jpg
period 90°
phase shift left 50°
vertical shift up 2 units
 



 
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