Determine whether an equation determines y as a functions of x

The video tutorial explains how to determine if equations represent functions of Y in terms of X. It emphasizes that a function must have a unique output for each input. The tutorial demonstrates solving equations to isolate Y and discusses the implications of taking square roots, which can result in multiple values for Y, thus affecting whether an equation can be considered a function.

What is a key characteristic of a function in terms of X?

• Each input has a unique output.

• Each input has multiple outputs.

• Each output is the same for all inputs.

• Each output has multiple inputs.

When solving for Y, what does it mean if you have two possible values for Y?

• The equation is a function.

• The equation has no solution.

• The equation is linear.

• The equation is not a function.

What operation is necessary to solve equations involving Y squared?

• Multiplication

• Square root

• Subtraction

• Addition

What is the result of taking the square root of 4?

• Neither 2 nor -2

• Only 2

• Only -2

• Both 2 and -2

Why can't an equation with two Y values for each X be considered a function?

• Because it doesn't have a unique output for each input.

• Because it is a linear equation.

• Because it has no real solutions.

• Because it is a quadratic equation.