Functions, Functions, Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Is this graph a function or not a function?

Back

A graph is a function if each x-value has a unique y-value.

Front

Is this mapping a function or not a function?

Back

A mapping is not a function if any input has more than one output.

Front

What are all of the x values or inputs called?

Back

The x values or inputs are called the Domain.

Front

Does the table represent a function?

Back

A table does not represent a function if there is a repeated x-value.

Front

What is the range in a function?

Back

The range is the set of all possible output values (y-values) of 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 is associated with exactly one output.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is an independent variable in a function?

Back

The independent variable is the input value (usually x) that can be changed freely.

Front

What is a dependent variable in a function?

Back

The dependent variable is the output value (usually y) that depends on the input value.