Identifying linear functions

Front

What is a linear function?

Back

Front

What is the slope of a line?

Back

Front

What is the y-intercept?

Back

Front

Identify a characteristic of linear functions.

Back

Linear functions have a constant rate of change, meaning that for every unit increase in x, the value of y changes by a fixed amount.

Front

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

Back

y = 3x + 2 is a linear function because it can be represented as a straight line. y = x^2 is nonlinear.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function does not create a straight line when graphed. Its rate of change varies, and it can include curves, parabolas, or other shapes.

Front

How can you tell if a table represents a linear function?

Back

A table represents a linear function if the differences between consecutive y-values are constant for equal differences in x-values.

Front

What is the equation of a horizontal line?

Back

Front

What is the equation of a vertical line?

Back

Front

Identify the slope of the line represented by the equation y = 2x - 5.

Back

The slope of the line is 2.