Is it a function?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input is related to more than one output.

Front

How can you determine if a set of ordered pairs represents a function?

Back

You can determine if a set of ordered pairs represents a function by checking if any input value is repeated with different output values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What is a discrete function?

Back

A discrete function is a function that has distinct, separate values, often represented by individual points.

Front

What is a continuous function?

Back

A continuous function is a function that can be graphed with a single unbroken line, meaning it has no gaps or jumps.

Front

Give an example of a function using a table of values.

Back

Example: Input: 1, Output: 2; Input: 2, Output: 4; Input: 3, Output: 6. This is a function because each input has one output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

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

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input; this would violate the definition of a function.