linear or nonlinear graphs & equations

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 type of function: y = 3x^2 - 4x + 2

Back

Nonlinear

Front

Identify the type of function: y = -4x + 5

Back

Linear

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 does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

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

How can you determine if a graph is linear or nonlinear?

Back

A graph is linear if it forms a straight line. If it curves or has any bends, it is nonlinear.

Front

What is the significance of 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.

Front

Identify the type of function: y = 2x^3 - 3x + 1

Back

Nonlinear