# How to determine if y is a function of x

Posted By Admin @ September 03, 2022

#### Question:

Determine whether the relation represents y as a function of x.

All functions are relations, but not all relations can be said to be a function.

The relation y is not a function of x

Given that: To determine if y is a function of x, we first solve for y

We have: Subtract 2x from both sides Square both sides Split or This means that:

For one value of x, there are two possible values of y

This scenario is regarded as a one-to-many relation.

This type of relation is not a function.

Hence, y is not a function of x

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