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.

Answer:

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:

2x + y^2 = 6

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

We have:

2x + y^2 = 6

Subtract 2x from both sides

y^2 = 6 - 2x

Square both sides

y = \±\sqrt{6 - 2x}

Split

y = \sqrt{6 - 2x} or y = -\sqrt{6 - 2x}

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

Read more about functions and relations at:

brainly.com/question/6241820

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