Exploring Linear and Nonlinear Functions

x and y appear in the denominators.

x and y are always multiplied together.

A constant change in x results in a variable change in y.

A constant change in x results in a constant change in y.

2/x = y

x + y = 7

y = 2^x

x^2 + 3 = y

x and y are added together.

x and y have exponents of one.

x and y are multiplied together.

x and y appear in the numerator.

As a horizontal line.

As a curve.

As a non-vertical straight line.

As a vertical line.

A horizontal line.

A curve.

A vertical line.

A straight line.

The change in y is variable for a constant change in x.

The change in y is constant for a constant change in x.

The change in x is constant for a variable change in y.

The change in x and y are both variable.

Exponential

Linear

Non-linear

Quadratic

y = x + 7

y = 2x + 5

y = x/2 - 1

y = x^3 + 3

They decrease by a constant amount.

They increase by a constant amount.

They remain the same.

They change by a variable amount.

Because x has an exponent.

Because x is in the denominator.

Because x is in the numerator.

Because x is under a square root.