Determine if the equation represents a function

The video tutorial explores the concept of function relationships, focusing on determining if Y is a function of X. It explains the criteria for a function, the process of isolating the Y variable, and the implications of taking the square root, which results in multiple possible Y values for a single X input. This leads to the conclusion that Y is not a function of X in this scenario.

What is the primary criterion for determining if Y is a function of X?

• Each X value maps to a unique Y value

• Each Y value maps to multiple X values

• Each Y value maps to a unique X value

• Each X value maps to multiple Y values

What is the first step in solving for Y to determine if it is a function of X?

• Divide both sides by X

• Add X to both sides

• Multiply both sides by X

• Isolate the Y variable

Why do we take the square root when solving for Y?

• To eliminate the X variable

• To get rid of the Y squared term

• To find the maximum value of Y

• To simplify the equation

What does it mean if an input X has two possible Y values?

• X is a function of Y

• X and Y are independent

• Y is a function of X

• Y is not a function of X

What conclusion is drawn when multiple Y values are possible for a single X input?

• The relationship is quadratic

• The relationship is linear

• The relationship is not a function

• The relationship is a function