3.1 Exercises
1) Assuming input is x and output is y, determine if the following relationships are functions or not and explain your answer. Also state the domain and range of each.
a.
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| y | 1 | 0 | 3 | 3 | 5 | -5 | 7 |
b.
| x | 1 | -1 | 0 | -1 | 5 | -5 | 2 |
|---|---|---|---|---|---|---|---|
| y | 1 | 1 | 2 | 3 | 4 | 4 | 8 |
2) Assuming input is x and output is y, determine if the following relationships are functions or not and explain your answer. Also state the domain and range of each.
a.
b.
3) Assuming input is x and output is y, determine if the following relationships are functions or not and explain your answer.
a. [latex]x^{2}+y^{2}=1[/latex]
b. [latex]y=x^{3}[/latex]
4) Give one reason why the relationship between a domain of the set of your classmates and a range of the set of their favorite colors might not be a function.
5) Describe a real-world relationship that is a function and explain why. Also state what your input and output is and what the domain and range
6) Work through problems at the following links in Kahn Academy:
Recognizing Functions from Graphs
Recognizing Functions from Tables
Watch the following video in Kahn Academy:
