Lesson 1 High Noon and Sunset Shadows Develop Understanding
Sketch the inverse of the function on the same set of axes. Finally, identify each function as even, odd, or neither.
1.
a.
Sketch the inverse of the function.
b.
Identify the function as even, odd, or neither.
A.
even
B.
odd
C.
neither
2.
a.
Sketch the inverse of the function.
b.
Identify the function as even, odd, or neither.
A.
even
B.
odd
C.
neither
3.
a.
Sketch the inverse of the function.
b.
Identify the function as even, odd, or neither.
A.
even
B.
odd
C.
neither
4.
a.
Sketch the inverse of the function.
b.
Identify the function as even, odd, or neither.
A.
even
B.
odd
C.
neither
5.
Here are the graphs of three even functions.
a.
Can an even function be invertible?
b.
Justify your answer.
State the period, amplitude, vertical shift, and phase shift of the function shown in the graph. Then, write the equation.
6.
Write the equation of the graph using
period:
amplitude:
vertical shift:
phase shift:
equation:
7.
Write the equation of the graph using
period:
amplitude:
vertical shift:
phase shift:
equation:
8.
Write the equation of the graph using
period:
amplitude:
vertical shift:
phase shift:
equation:
9.
Write the equation of the graph using
period:
amplitude:
vertical shift:
phase shift:
equation:
10.
Write the equation of the graph using
period:
amplitude:
vertical shift:
phase shift:
equation:
11.
The cofunction identity states that
Explain where you would see this identity in a right triangle.
Describe the relationships between the graphs of
12.
Describe the relationship between the graphs of
13.
Describe the relationships between the graphs of
14.
This graph could be interpreted as a shift or a reflection. Write the equations both ways.
Describe the relationships between the graphs of
15.
Describe the relationships between the graphs of
Sketch the graph of the function.
(Include two full periods. Label the scale of your horizontal axis.)
16.
17.
Name two angles of rotation for
18.
19.
20.
21.
22.
23.
24.
For which angles of rotation does