1. Unit 3 Review

2. Relations Is the relation a function? Why or why not?
{(0, 1), (4, 2), (5, 8), (6, 8)} X
F(x) 1 2 3 6 4 5 10
Relations

3. Is the following graph a function? Why or why not?
Vertical Line Test

4. Characteristics of Functions
What is the domain of the function?
What is the range of the function?
Characteristics of Functions

5. What types of functions are displayed below?

6. Types of Functions X F(x) 1 3 2 5 7 X F(x) 1 3 2 9 27
What type of function is listed in the tables below? X
F(x) 1 3 2 5 7 X
F(x) 1 3 2 9 27
Types of Functions

7. Evaluating Functions F(x) = 2x – 5 G(x) = 2x3 + 8
Evaluate each of the functions at -2.
Evaluating Functions

8. Combinations of Functions
F(x) = 2x – 5
G(x) = 2x3 + 8
H(x) = x + 1
Find each of the following
F(x) + H(x)
F(x) – G(x)
F(G(x))
Combinations of Functions

9. Sequences Write an equation to represent the arithemetic sequences.

10. Find the 50th term in the arithmetic sequence:
An = 17n - 63
Sequences

11. Transformations of Functions
F(x) = x2
What happened to the function f(x) in each of the below?
F(x) = x2 + 5
F(x) = x2 – 8
F(x) = 5x2
Transformations of Functions

12. Transformations of Functions
If g(x) = x2, write the equation of the new function if g(x) is stretched by a factor of 10 and translated 5 units down.
If h(x) = x3, write the equation of the new function if h(x) is translated 4 units up and shrunk by a factor of 3.
Transformations of Functions