math basic algebra work sheets 12 work sheets

Math 090 Week 4 Thursday Worksheet

1. Determine whether the relation defines a function, and give the domain and range.

a. {(9,−2), (−3, 5), (9, 2)} b. c.

d. e. f.

2. Look back at problem 1, and answer the following.

a. For parts d-f, find f(0) for each.

b. Look back at parts d and e, and find for what value of x is f(x) = 1 for each?

3. Given the functions below, find the following.

f(x) = −5x + 7 g(x) = x2 − 2x

f(0) g(0) f(−2)

g(−2) f

( 2

5

) f(−x)

g(−x) f(x− 2) g(x + 1)

4. Rental on a car is $70 plus $0.25 per mile. Let x represent the number of miles driven, and f(x) represent the total cost to rent the car.

Write a linear function that models this situation.

Find f(200) and interpret your answer in the context of the problem.