Linear and Non-Linear Functions

Front

What is a linear function?

Back

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.

Front

What does slope represent in a linear function?

Back

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a linear function?

Back

Front

True or False: The slope of a line can be negative.

Back

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope and indicates how much the output value changes for a given change in the input value.

Front

If a function has a constant slope, what type of function is it?

Back

It is a linear function.

Front

What are the characteristics of a nonlinear function?

Back

Nonlinear functions can have curves, bends, or varying slopes, and do not have a constant rate of change.

Front

What is the output of the function f(x) = 2x + 3 when x = 2?

Back

The output is f(2) = 2(2) + 3 = 7.