Name: 
 

Graphing Trigonometric Functions



 1 

The maximum value of the function mc001-1.jpg is:
a)
mc001-2.jpg
c)
3
b)
2
d)
mc001-3.jpg
 

 2 

What is the minimum value of mc002-1.jpg in the equation mc002-2.jpg?
a)
mc002-3.jpg
c)
mc002-5.jpg
b)
mc002-4.jpg
d)
mc002-6.jpg
 

 3 

What is the maximum value for the function mc003-1.jpg is:
a)
mc003-2.jpg
c)
mc003-4.jpg
b)
mc003-3.jpg
d)
mc003-5.jpg
 

 4 

If mc004-1.jpg, then the maximum value of mc004-2.jpg is:
a)
mc004-4.jpg
c)
mc004-6.jpg
b)
mc004-5.jpg
d)
mc004-7.jpg
 

 5 

What is the maximum value of y for the equation mc005-1.jpg?
a)
1
c)
3
b)
2
d)
4
 

 6 

The path traveled by a roller coaster is modeled by the equation mc006-1.jpg.  What is the maximum altitude of the roller coaster?
a)
13
c)
30
b)
27
d)
57
 

 7 

The Ferris wheel at the landmark Navy Pier in Chicago takes 7 minutes to make one full rotation.  The height, H, in feet, above the ground of one of the six-person cars can be modeled by mc007-1.jpg, where t is time, in minutes.  Using mc007-2.jpg for one full rotation, this car's minimum height, in feet, is
a)
150
c)
10
b)
70
d)
0
 

 8 

Relative to the graph of mc008-1.jpg, what is the shift of the graph of mc008-2.jpg?
a)
mc008-3.jpg right
c)
mc008-5.jpg up
b)
mc008-4.jpg left
d)
mc008-6.jpg down
 

 9 

The graph of the equation mc009-1.jpg will contain no points in Quadrants
a)
I and II
c)
III and IV
b)
II and III
d)
I and IV
 

 10 

Which type of symmetry does the equation y = cos x have?
a)
line symmetry with respect to the x-axis
c)
point symmetry with respect to the origin
b)
line symmetry with respect to mc010-1.jpg
d)
point symmetry with respect to mc010-2.jpg
 

 11 

The graph of which equation is symmetric with respect to the origin?
a)
mc011-1.jpg
c)
mc011-3.jpg
b)
mc011-2.jpg
d)
mc011-4.jpg
 

 12 

As angle x increases from 180º to 270º, the value of mc012-1.jpg will
a)
increase from 0 to 1
c)
decrease from 0 to mc012-3.jpg
b)
increase from mc012-2.jpg to 0
d)
decrease from 1 to 0
 

 13 

As mc013-1.jpg increases from mc013-2.jpg to mc013-3.jpg, which statement is true?
a)
mc013-4.jpg increases from mc013-5.jpg to 0.
c)
mc013-7.jpg decreases from 0 to mc013-8.jpg.
b)
mc013-6.jpg decreases from 1 to 0.
d)
mc013-9.jpg decreases from mc013-10.jpg to 0.
 

 14 

As mc014-1.jpg increases from mc014-2.jpg to mc014-3.jpg,  the value of mc014-4.jpg
a)
decreases, only
c)
decreases and then increases
b)
increases, only
d)
increases and then decreases
 

 15 

As angle x increases from mc015-1.jpg to mc015-2.jpg, the value of mc015-3.jpg will
a)
increase from mc015-4.jpg to 0
c)
decrease from 0 to mc015-5.jpg
b)
increase from 0 to 1
d)
decrease from 1 to 0
 

 16 

As x increases from mc016-1.jpg to mc016-2.jpg, the value of mc016-3.jpg
a)
increases, only
c)
increases, then decreases
b)
decreases, only
d)
decreases, then increases
 

 17 

As angle mc017-1.jpg increases from mc017-2.jpg radians to mc017-3.jpg radians, the cosine of mc017-4.jpg
a)
increases throughout the interval
c)
increases, then decreases
b)
decreases throughout the interval
d)
decreases, then increases
 

 18 

A sine function increasing through the origin can be used to model light waves.  Violet light has a wavelength of 400 nanometers.  Over which interval is the height of the wave decreasing, only?
a)
mc018-1.jpg
c)
mc018-3.jpg
b)
mc018-2.jpg
d)
mc018-4.jpg
 



 
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