Linear vs Non-Linear Functions

• Linear functions shows a constant rate of change.

• Nonlinear functions do not have a constant rate of change.

• When graphed, a linear function forms a single straight line.

• When graphed, a nonlinear function does not form a single straight line.

A linear function has a constant rate of change in y to the change un x is constant (the same).

have a constant rate of change. They must add or subtract by the same amount in each row. Just like this table.

are represented by equations that have:

* no exponents

* no absolute value signs

* fractions with variables only in the numerator

• Can be written in the form y=mx+b (m and b are numbers)

• Can be written in the form of y=mx (m is a number & y-intercept is the origin)

• Can be written in the form y=b (b is a number & slope is zero, not undefined)

• We will use desmos.com/calculator to determine whether an equation is linear or nonlinear