Question

Determine whether the relation shown here is a function. Explain your answer.

A) function, an input has 1 output
B) function, an input has 2 different outputs
C) function, no output has 2 different inputs
D) not a function, an input has 2 different outputs

Answer 1

function no output has 2 diffrent inputs

Answer 2

D) not a function, an input has 2 different outputs

Explanation:

In a function, each input can have only one output. If any input has more than one output, then the relation is not a function.

Input 1 has only one output, 2.

Inputs 3, -2, and -1 also have only one output each.

Now look at input 2. Input 2 has output -4, and input 2 also has output 5.

Since one input has more than one output, the relation is not a function.

Answer:

D) not a function, an input has 2 different outputs