Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include curves, parabolas, etc.

Front

Identify if the following function is linear or nonlinear: y = 2x + 3.

Back

Linear Function.

Front

Identify if the following function is linear or nonlinear: y = x^2 + 2.

Back

Nonlinear Function.

Front

What is the slope in a linear function?

Back

The slope is the rate of change of the function, represented by 'm' in the equation y = mx + b.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if every output is produced by exactly one input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line crosses the curve more than once, it is not a function.

Front

Identify if the following function is linear or nonlinear: y = 5x - 9.

Back

Linear Function.

Front

Identify if the following function is linear or nonlinear: y = 3(x + 4).

Back

Linear Function.