Linear vs Nonlinear Functions Review Flashcard

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. It can have curves, bends, or other shapes, and can be represented by equations like y = ax^2 + bx + c.

Front

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

Back

Linear

Front

Identify if the function is linear or nonlinear: y = x^3 - 4x + 1

Back

Nonlinear

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, represented by 'm' in the equation y = mx + b.

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 'b' in the equation y = mx + b.

Front

Identify if the function is linear or nonlinear: y = 4x^2 + 2x - 1

Back

Nonlinear

Front

Identify if the function is linear or nonlinear: y = -5x + 7

Back

Linear

Front

What is a quadratic function?

Back

A quadratic function is a type of nonlinear function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.