Extra Practice for Functions Test

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

What does it mean for y to be a function of x?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

What is an example of a non-function relation?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 corresponds to two different outputs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function.

Front

What is the significance of the ordered pair in a relation?

Back

An ordered pair (x, y) indicates that x is related to y, where x is the input and y is the output.

Front

How do you find the domain from a graph?

Back

Identify all the x-values that the graph covers; these values make up the domain.

Front

How do you find the range from a graph?

Back

Identify all the y-values that the graph covers; these values make up the range.