Linear, Nonlinear, and Functions Test

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Does the relation (-1,2), (0,2), (1,2), (2,2), (3,2) represent a function?

Back

Yes, because there is one output for every input.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are constants.

Front

Back

Linear.

Front

What characterizes a linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is a nonlinear function?

Back

A nonlinear function does not have a constant rate of change and its graph is not a straight line.

Front

How can you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, it is linear.

Front

What does the graph of a nonlinear function look like?

Back

The graph of a nonlinear function can be curved or have varying slopes.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.