Name______________________ Per. _______ Date________ Homework Worksheet 1.2 Introduction to Functions

Show all work in the space provided. Remember to follow the criteria for credit.

Section 1 (Do 3)1. Make an input-output table for the

function y = 5x + 2. Use 0, 1, 2, & 3 as the domain.

2. Make an input-output table for the function y = 4x + 2. Use 3, 4, 5, and 6 as the domain.

3. Make an input-output table for the function y = 6x - 3. Use 0, 1, 2, & 3 as the domain.

4. Make an input-output table for the function y = 7x - 3. Use 0, 1, 2, & 3 as the domain.

5. Make an input-output table for the function y = 8x - 4. Use 2, 4, 6, & 8 as the domain.

Section 2 (Do 3) 6. Given this input-output table,

identify the domain and range for the function.

Domain: _____________________ Range: ______________________ 7. Given the following ordered pairs,

identify the domain and range for the function.

(-4, 8) (-3, 7) (-2, 6) (-1, 5) Domain: _____________________ Range: ______________________

Input Output

Input Output

Input Output

Input Output

Input Output

Input Output

-2

-4

-1 -6

0 -8

1 -10

2 -12

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8. Given this diagram, identify the

domain and range for the function.

Domain: _____________________ Range: ______________________ 9. Given this input-output table, identify

the domain and range for the function. Domain: _____________________ Range: ______________________ 10. Given the following ordered pairs, identify

the domain and range for the function

(-2,0) (-1,1) (0,2) (1,3) (2,4) Domain: _____________________ Range: ______________________

Section 3 (Do 3)

11. Graph the line for the function in #6.

12. Graph the line for the function in #7. 13. Graph the line for the function in #8.

Input Output

0 7

1 6

2 5

3 4

4 3

0 1 2 3 4

3 4 5 6 7

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14. Graph the line for the function in #9. 15. Graph the line for the function in #10. Section 4 (Do 3)

16. Federal Express charges Lucy $18.00 for pick-up and then assesses a fee of $1.45 per pound to ship a package. Write an equation that shows the relationship between the total shipping charge (c) and the total weight (w) of the package.

17. Bill’s Plumbing Repair charges $35.00 to make a house call. He then charges $27.50 per hour that he is on-site. Write an equation that shows the relationship between the total plumbing bill (b) and the number of hours (h) required to fix the problem.

18. At Hacker’s Computer Fix-It Shop, in order to have a laser printer repaired, the basic fee is $75.00. They also charge $18.00 per hour for labor. Write an equation that shows the relationship between the total cost (c) and the number of hours (h) it takes to repair a laser printer.

19. The Greenbelt Little League is holding a fundraiser. Each player will get a sponsor for $20.00 and the sponsor will also pay $.15 for every foot the player hits the ball in the hitting contest. Write an equation that shows the relationship between the total fee (f) assessed to each sponsor and the number of feet (n) that the player hits the ball.

20. LA Fitness charges a first-time membership fee of $45.00. After joining each member is charged a monthly fee of $17.50. Write an equation that shows the relationship between the total membership charge (c) assessed to each sponsor and the number of months (m) that an individual is a member.

Section 5 (Do 2) 21. In which case is the second value not

dependent on the first value?

a) Amount of sales, amount of commission

b) Diameter of a circle, radius of a circle c) Average amount of rain, day of the

week d) Money in savings, interest earned e) Ticket sales, number of movie-goers