16.3 – 16.4 Trigonometric Graphs:
The COSine Function
& Tangent Function
1. The “Classic” Tangent Function
y = tan x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
2.
y = 4 + cos x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
Name:______________
3.
y = cos x -3
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
4.
y = - tan x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
5.
y = tan (1/3)x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
6.
y = cos (2x -  )
2
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
7. y = cos (½ x – π)
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
8. y = 1/3 cos x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
9.
y = 2 cos x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
10. y = 3cos 4x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
11.
y = ½ cos (2x-2π)
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
12.
y = 1 - tan x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
13.
y = -3cos x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
14.
y = -cos (2x – π) - 5
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
15.
y = -3tan 3x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.
16.
y = 4 – 1/4 cos ½ x
a. Graph the function to the right and indicate following:
b. Domain: ________
c. Range: ________
d. Period: ________
e. Amplitude: _______
f. Describe how this graphed is transformed.