Linear Functions Lesson

Linear Functions Lesson

To be Linear

No more than 2 Variables

Variables can't have exponents (x²)

Multiple Choice

Is this function linear or nonlinear?

• linear
• nonlinear

Multiple Select

Which equations represents y as a linear function of x?

• y=x³

• y=9x

• x=5

• y=x

Multiple Select

Which equations describe a nonlinear function? Select all that apply.

• x - 3y=12

• y=x³

• 3y=x

• y=5x²+6x

• 4x+3y²=24

Multiple Choice

Why is this function nonlinear?

• This is a nonlinear function because it is vertical
• This is a nonlinear function because it is a straight line.
• This is a nonlinear function because it goes up and down.
• This is a nonlinear function because it is curved.

Multiple Choice

Is the function $2x+3y=7\$  linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is this function linear or nonlinear?

• Linear
• Nonlinear

Rate of Change

The change in y over the change in x

 $\frac{Change\ in\ y}{Change\ in\ x}$  
The change is constant.

Multiple Choice

• This is the TABLE of a linear equation
• This is the TABLE of a NON linear equation

Multiple Choice

Does this table represent a linear or nonlinear function?

• Linear

• Nonlinear