Final Exam

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1. What is the inverse of the funxtion f(x) = -3x +8 ?

• 8 + 3x
• (x - 8) /3
• (8 - x) /3
• (3 - x) /8

2. The _____________is used to determine if a graph has an inverse.

• Vertical line test
• Vertex test
• One to one test
• Horizontal line test

3. What is the inverse of exponential functions ?

4. Do all functions have inversers? what is the condition for inverses to exist? Name a function that does not have an inverse.

5. When is a function said to be one to one ?

• Every x has one distinct y value
• Every y corresponds to one distinct x value
• Each x corresponds to only one y and each y corresponds to only one y
• When the domain is positive

6. Which of the following is the inverse of logarithmic functions?

• Rational
• Exponential
• Radical
• Quadratic

7. Which of the following graphs illustrates a one-to-one function?

• A
• B
• C
• D

8. What are the restrictions on the base of an exponential function?

• base > 0
• 0 < base < 1
• base > 1
• base cannot equal to 1
• base < 1

9. Calculate. Round to 4 decimal places