Math Models Unit 1 Lesson 6

2. Find the function rule. x : • 0 • 10 • 20 y : • -5 • 15 • 35 y = ____

2x - 5

1. Find the function rule. x : • 1 • 2 • 3 y : • 5 • 8 • 11 y = ____

3x + 2

5. Select the independent and dependent variable for each description.2x + 5 = y

Independent variable: X Dependent variable: Y

6. Select the independent and dependent variable for each description. y = 3/7x - 10

Independent variable: X Dependent variable: Y

7. Select the Independent and dependent variable for each description. Total wages based on hours worked

Independent variable: hours worked Dependent variable: wages earned

10. Select the independent and dependent variable for each description. Your cell phone bill if you used 2,500 minutes

Independent variable: minutes used Dependent variable: cell phone bill

8. Select the independent and dependent variable for each description. Weekly cost of gas to go to work as determined by the number of miles driven

Independent variable: number of miles driven Dependent variable: cost of gas

9. Select the independent and dependent variable for each description. The distance you will travel in your car if you are going the speed limit of 70 mph for several hours

Independent variable: time (hours) Dependent variable: distance

3. Find the function rule. x : • 1 • 2 • 3 • 4 y : • 1 • 4 • 9 • 16 y = _____

x²

4. Find the function rule. x : • 1 • 2 • 3 • 4 y : • 1 • 8 • 27 • 64 y = _____

x³

11. Fill in the charts using the function rules and domains. Domain : x • -2 • -1 • 0 • 1 • 2 Range : (x - 2)(x + 1) • 4 • 0 • -2 • -2 • 0 Ordered Pair : (x,y) • (-2, 4) • (-1, 0) • (0, -2) • (1, -2) • (2, 0)

y = (x - 2)(x + 1) with domain {- 2, - 1, 0, 1, 2}

13. Fill in the charts using the function rules and domains. Domain : x • -2 • -1 • 0 • 1 • 2 Range : -2x - 1 • 3 • 1 • -1 • -3 • -5 Ordered Pair : (x,y) • (-2, 3) • (-1, 1) • (0, -1) • (1, -3) • (2, -5)

y = -2x - 1 with domain {- 2, - 1, 0, 1, 2}

12. Fill in the charts using the function rules and domains. Domain : x • 1 • 2 • 3 • 4 • 5 Range : 1/x • 1 • 1/2 • 1/3 • 1/4 • 1/5 Ordered Pair : (x,y) • (1, 1) • (2, 1/2) • (3, 1/3) • (4, 1/4) • (5, 1/5)

y = 1/x with domain {1, 2, 3, 4, 5}