1. Linear Functions and Graphs Student Study Guide Mrs. Robertson May 2012

2. Definitions Domain: first coordinates in a set of ordered pairs, x values (3, 4), (5, 6) - Domain = 3, 5 Range: second coordinates in a set of ordered pairs, y values (3, 4), (5, 6) - Range = 4, 6 Function: Pairing between two sets of numbers in which each element of the first set is paired with exactly one element of the second set

3. Exercises: Determine the domain and range of each relation. 5. (2, 9), (3, 10), (5, 12), (9, 14) Domain: 2, 3, 5, 9 Range: 9, 10, 12, 14 7. (0, 17), (7, -12), (13, 21), (18, 40) Domain: 0, 7, 13, 18 Range: 17, -12, 21, 40 5. (2, 9), (3, 10), (5, 12), (9, 14)

4. Exercises: Determine whether each relation is a function 1. (12, 7), (6, 5), (12, -7), (6, -5) When two x values are the same, it is NOT a function. Domain: 12 and 12 Use the vertical line test to see if it is a function

5. Exercises: Determine whether each relation is a function 3. (1, 3), (2, 3), (4,3), (5,3) (6, 3) When two y values are the same, it IS a function. Range: 3 Use the vertical line test to see if it is a function

6. 5.1 Linear Functions and Graphs Practice Masters Level B

7. For each relation, (a) describe the domain, (b) describe the range, and (c), determine whether the relation is a function 1. (8, 12.5), (10, 12.3), (15, 12.1) a. Domain: 8, 10, 15 b. Range: 12.5, 12.3, 12.1 c. Function

8. Complete each ordered pair so that it is a solution to 2x - y = 10 3.(2, ___ ) 4.(___, 8) 5.(-1, ___)

9. The table below shows the cost for film developing. A processing fee of $2.00 is charged per roll, and there is an additional fee per picture. 9. Write an equation for the function.  Every 3 pictures increases 30 cents Number of pictures, x 12152436 Cost, in dollars, y $3.20$3.50$4.40$5.60  Every 1 picture increases 10 cents  $2.00 processing fee Y = 2 + 0.10x

10. 10. Write a set of ordered pairs for the function. (12, 3.20) Number of pictures, x 12152436 Cost, in dollars, y $3.20$3.50$4.40$5.60 (15, 3.50) (24, 4.40) (36, 5.60)

11. 11. Identify the domain shown in the table. 12, 15, 24, 36 Number of pictures, x 12152436 Cost, in dollars, y $3.20$3.50$4.40$5.60

12. 12. Identify the range shown in the table. 3.20, 3.50, 4.40, 5.60 Number of pictures, x 12152436 Cost, in dollars, y $3.20$3.50$4.40$5.60

13. 13. The graph below shows a linear function. Complete the table of values, and determine an equation of the line. Y = 2x + 1 XY 0 1 2 3 XY 01 13 25 37