which of these relations are functions? select all that apply.
which of these relations are functions? select all that apply.
Answer
Explanation:
Step1: Recall function definition
A relation is a function if for each input (x - value) there is exactly one output (y - value).
Step2: Check first relation
In the first relation, x = 16 has two y - values (17 and 12). So it is not a function.
Step3: Check second relation
Each x - value in the second relation has a unique y - value. So it is a function.
Step4: Check third relation
Each x - value in the third relation has a unique y - value. So it is a function.
Step5: Check fourth relation
Each x - value in the fourth relation has a unique y - value. So it is a function.
Answer:
The second, third, and fourth relations are functions.