Practice for test 3

Note. Some answers are provided.

1. Explain why graphically.

2. If

1. Fnd the period of

2. Find the asymptotes for

3. Sketch and together.

4. Sketch and together.

3. Find the function whose graph is the reflection of ( ) along the [Ans.

4. Find the function whose graph is the reflection of ( ) along the [Ans. ].

5. For Find

6. For Find

1. [ ans:

2. [ ans:

7. If and Find

1. [ans:

2. [ans:

8. If and Find

1. ans:

2. [ans:

9. Define a function , whose graph is similar to the cosine function, and satisfies ALL the following conditions:

1. the period of is

2. the function has amplitude of

3. the function has a maximum value of when