Linear and Nonlinear Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has 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 form a straight line when graphed. Its graph can be a curve or any other shape that is not linear.

Front

Identify the function type: y = 3x + 2

Back

Linear

Front

Identify the function type: y = x^2 + 5

Back

Nonlinear

Front

What is the slope in the linear function y = 2x + 3?

Back

The slope is 2.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

Identify the function type: y = -4x + 1

Back

Linear

Front

Identify the function type: y = sin(x)

Back

Nonlinear

Front

What is the general form of a linear function?

Back

The general form is y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.