Linear or Nonlinear Function

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 curved or have varying slopes.

Front

Identify 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 (m) represent in a linear function?

Back

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

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you determine if a function is linear from its graph?

Back

A function is linear if its graph is a straight line. If the graph curves or has bends, it is nonlinear.

Front

What is the equation of a linear function with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

What is the equation of a nonlinear function?

Back

An example of a nonlinear function is y = x^2 + 1, which represents a parabola.

Front

What is the difference between a linear and a nonlinear graph?

Back

A linear graph is a straight line, while a nonlinear graph can be curved or have varying slopes.

Front

Is the function y = 3x + 4 linear or nonlinear?

Back

Linear.