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 - 4 is linear or nonlinear.

Back

Nonlinear

Front

What is the general form of a linear function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

y = 5x - 2 is a linear function.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function 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 the function y = 4x + 1?

Back

The y-intercept is 1, which is the value of y when x = 0.

Front

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

Back

Linear

Front

Which of the following is NOT a linear function: y = 3x, y = x^2, y = 7x + 1?

Back

y = x^2 is NOT a linear function.