Identifying 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 rate of change is not constant, and it can take various forms, such as quadratic, exponential, or logarithmic.

Front

Identify whether the function y = 2x + 3 is linear or nonlinear.

Back

Linear

Front

Identify whether the function y = x^2 + 2 is linear or nonlinear.

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

Which of the following is a linear function: y = 4x, y = x^3, y = 2x - 5?

Back

y = 4x and y = 2x - 5 are linear functions; y = x^3 is nonlinear.

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 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 whether the function y = -3x + 7 is linear or nonlinear.

Back

Linear

Front

Which of the following equations is NOT a linear function: y = 5x, y = 2x + 1, y = x^2 - 4?

Back

y = x^2 - 4 is NOT a linear function.