2.1-2.5, 3.1-3.4 Exam 2 Review Math Worksheet With Answers (Page 5 of 7) in pdf

2.1-2.5, 3.1-3.4 Exam 2 Review Math Worksheet With Answers Page 5

3.1: Functions

Domain is the set of all possible inputs x

Range is the set of all possible outputs f (x)

A function is even if it has y-axis symmetry. That is, a function is even if f ( x) = f (x)

A function is odd if it has origin symmetry. That is, a function is odd if f ( x) =

f (x).

15. Give the domain and range of the following functions. Is each function odd, even, or neither?

f (x) =

Solution: Domain: x x

2 , Range: f (x) f (x)

0 , neither odd nor even

g(x) = (x

Solution: Domain: All real numbers, Range: All real numbers, neither odd nor even

h(x) =

+ 1

Solution: Domain: All real numbers, Range: f (x) f (x)

3 , even

3.2: Linear Functions

Be comfortable graphing a line in slope-intercept form

Be able to explain what f (x) means and what f (2) means

16. Graph f (x) =

x + 7. What is f (4)?

Solution: The y intercept is at (0, 7) and the x intercept is at (28, 0). f (4) = 6

17. Stephen makes $500 each month plus $50 for every cell phone he sells. Write a linear function that

describes his situation. How much money does he make if he sells 4 cell phones? What is the domain?

Solution: f (x) = 50x + 500. He will make $700 if he sells 4 cell phones. The domain is non-negative

integers (0, 1, 2, 3, ...) since he can’t sell 3.5 or

2 cell phones.

2.1-2.5, 3.1-3.4 Exam 2 Review Math Worksheet With Answers Page 5