Is it a function? & Evaluating Functions

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

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

Back

If a relation is not a function, it means at least one x-value is paired with multiple y-values.

Front

Example of a function: (1, 2), (2, 3), (3, 4). Is this a function?

Back

Yes, this is a function because each x-value has only one y-value.

Front

Example of a non-function: (1, 2), (1, 3), (2, 4). Is this a function?

Back

No, this is not a function because the x-value 1 has two y-values (2 and 3).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each x-value connects to its y-value.

Front

In a mapping diagram, what indicates a function?

Back

In a mapping diagram, a function is indicated when each input (x-value) points to only one output (y-value).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Front

What is the vertical line test?

Back

The vertical line test is 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.