Linear Functions Review - Algebra 1

Front

What is a linear function?

Back

Front

What is the slope of a line?

Back

Front

What does it mean for a function to be nonlinear?

Back

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

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once. This is known as the vertical line test.

Front

What is the y-intercept of a linear function?

Back

Front

What is the difference between a linear function and a function that is not linear?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a function that is not linear has a variable rate of change and is represented by a curve or other non-straight shape.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input (x) and output (y) values for a function, allowing for the analysis of the relationship between the two variables.

Front

How do you identify a linear function from a table of values?

Back

A table represents a linear function if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the standard form of a linear equation?

Back

Front

What is the point-slope form of a linear equation?

Back