Question

Input Output Rule

Input Output
−4 2
−1 2
−1 −2
1 0
2 3
Question 1



Does the table represent a function? If not, justify your reasoning.
Responses


A No, because (−1, 2) and (−1, −2) have the same input value.No, because (−1, 2) and (−1, −2) have the same input value.


B No, because (−4, 2) and (−1, 2) have the same output value..No, because (−4, 2) and (−1, 2) have the same output value..


C Yes, the table represents a function.Yes, the table represents a function.


D Yes, because on a graph (1, 0) will intercept the y-axis at 0.

Answer 1

Answer:

A. No, because (-1) and (-1, -2) have the same input value.

Step-by-step explanation:

Functions:

So what exactly is a function? It's very similar to a relation where there is input and for each input we have some output and sometimes multiple. The difference is in a function there is only one output for each input. Now the outputs of two different inputs can be the same, such that the input 2 and 3 will both output 4 or any value, but we cannot have an input such as 2 outputting 3 and 4 since we can only have one output for each input.

In the table given, the input "-1" outputs "2" and -2" which means the table  does not represent a function.

This makes "A" the correct answer to whether it's a function or not and explanation.