Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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 intersects the curve at more than one point, it is not a function.

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, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Examples include quadratic functions, exponential functions, and trigonometric functions.

Front

Identify the function: y = 2x + 3

Back

This is a linear function.

Front

Identify the function: y = x^2 - 4

Back

This is a nonlinear function.

Front

What is the slope of the line represented by the function y = 4x + 1?

Back

The slope is 4.

Front

What is the y-intercept of the function y = -2x + 5?

Back

The y-intercept is 5.

Front

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

Back

Linear.

Front

Is the function y = x^3 - 3x nonlinear or linear?

Back

Nonlinear.