Question

Is {(-12,3) (-5,4) (-6,3) (8,-9) (-6,2) (1,7)}A function ?

Answer 1

Answer:

Non-function

Explanation:

A function is a relation from a set of inputs to give a set of outputs.

In a function a particular input can only result in one output only.

Which means one input cannot generate more than one output.

For the given question;

$\mleft\{\mleft(-12,3\mright),(-5,4),(-6,3),(8,-9),(-6,2),(1,7)\mright\}$

We can observe that the output at the input -6 is more than one.

$\begin{gathered} (-6,3) \\ \text{and} \\ (-6,2) \end{gathered}$

A single input -6 produces two outputs 3 and 2.

So, since one input produces more than one output, the data is not a function.

Therefore, It is not a function