Linear or Not? Function or Not?

Front

What is a function?

Back

A relation where every input has only ONE output.

Front

How can you determine if a relation is a function using a graph?

Back

If any vertical line crosses the graph more than once, it is not a function.

Front

What is a linear function?

Back

A function that graphs to a straight line.

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a linear function?

Back

The point where the graph crosses the y-axis.

Front

What is the difference between independent and dependent variables?

Back

Independent variables are inputs (x), and dependent variables are outputs (y).

Front

What does it mean for a function to be one-to-one?

Back

Each output is paired with exactly one input.