Unit Review: Relations, Functions, linear and nonlinear

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

Identify the domain of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

The domain is {-6, 0, 2, 4}.

Front

Is the function represented by the graph linear or nonlinear?

Back

If the graph is a straight line, it is linear; if it curves, it is nonlinear.

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph.

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is a relationship that cannot be represented by a straight line on a graph.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

What does it mean for a graph to be linear?

Back

A linear graph has a constant rate of change and can be described by a linear equation.

Front

What does it mean for a graph to be nonlinear?

Back

A nonlinear graph has a variable rate of change and cannot be described by a linear equation.

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).