Name:
1.7 Relations and Functions WRITING ACTIVITY KEY
Algebra 1—Stuhlman
Directions: For each relation representation, one side will be an example of a function and the other is a counterexample. It’s your job to determine which is which. In addition, write a brief statement or explanation for your answer.
Ordered Pairs
#1
#2
{(1,1), (−2,3), (0,1), (−1 − 5)}
Which set of ordered pairs represents a function? Why?
{(1,1), (3, −2), (1,0), (−5, −1)}
#1 is a function, and #2 is not a function.
Mapping
#3
#4
3
4
5
6
3
4
5
6
−1
−2
−3
−1
−2
−3
Which mapping represents a function? Why?
#3 is a function, and #4 is not a function.
Table
#5
#6
𝑥
𝑦
−2
1
0
3
1
1
6
3
Which table represents a function? Why?
𝑥
−5
−3
1
1
#5 is a function, and #6 is not a function.
Graph
#7
Which graph represents a function? Why?
#7 is a function, and #8 is not a function.
#8
𝑦
0
1
2
5