Name______
11.1/11.2 Relations, Functions, and Scatter Plots
1) A relation is a set of ordered pairs that relates an ______to an ______.
2) A relation is a function if for each input there is exactly ______output.
3) The ______of a function is the set of all possible input values.
4) The ______of a function is the set of all possible output values.
5) The function rule assigns each number in the ______to exactly one number in the ______.
Decide whether the relation is a function. Explain why or why not.
6) (3, 2), (3, 8), (-2, -3), (0, 7), (-1, 5), (-4, 2), (-3, -7)
7) (4, 4), (3, 2), (-1, 0), (0, 5), (1, -2), (6, 3), (1, -7)
8) 9)
Input / 4 / 2 / -2 / 1Output / 1 / 3 / 2 / 4
Input / 4 / 6 / -3 / 6
Output / 5 / 3 / 4 / 3
Make an input-output table for the function rule. Use a domain of -2, -1, 0, 1, 2. Identify the range.
10) y = 2x – 111) y = x2 + 3 12) 13) y = -3x – 7
Write a function rule that relates x and y.
14) 15)
Input x / 1 / 2 / 3 / 4Output y / 7 / 12 / 17 / 22
Input x / 1 / 3 / 5 / 7
Output y / 2 / 4 / 6 / 8
16) 17)
Input x / 0 / 1 / 2 / 3Output y / 4 / 12 / 20 / 28
Input x / 1 / 2 / 3 / 4
Output y / 11 / 25 / 39 / 53
18) You go out for dinner with four friends. Each person orders a meal that is the same price. Is the price of the entire meal a function of the number of dinners purchased? Explain.
19) Jose is mowing lawns to earn some money. He gets $15 for every lawn that he mows. Some lawns take twice as long as others. Is the amount of money he earns a function of the time he spends mowing lawns? Explain.
Make a scatter plot of the data. What conclusions can you make?
Number of Workers / Hours to Complete Job1 / 10
2 / 6
3 / 2
20) 21)
Grade / Age6 / 11
7 / 12
8 / 13
22)
Number of Siblings / 2 / 1 / 3 / 2 / 4 / 4Tests Taken Today / 4 / 3 / 2 / 2 / 1 / 5
Make a scatter plot of the data. Describe the relationship between the variables. Use the relationship to find the next ordered pair.
23) 24)
x / 1 / 2 / 3 / 4 / 5Y / 7 / 14 / 21 / 28
x / 3 / 4 / 5 / 6 / 7
Y / 11 / 14 / 17 / 20
Use the table that shows the number of girls who played in a soccer league over the last 5 years.
25) Make a scatter plot of the data.
Year x / 1 / 2 / 3 / 4 / 5Number of Girls Playing Soccer y / 12 / 24 / 36 / 48
26) Sketch 3 graphs that show A. positive relationshipB. negative relationship C. no relationship