Unit 2 REVIEW

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 from a set of ordered pairs?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What does it mean if an x-value has two y-values in a relation?

Back

It means the relation is not a function.

Front

Given the ordered pairs (5,0), (8,10), (-3,5), (6,7), does this represent a function?

Back

Yes, because each x-value is unique.

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a way to pair each element of one set with an element of another set.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input is paired with exactly one output.

Front

If a table shows x-values 1, 2, 3 and corresponding y-values 4, 5, 6, does it represent a function?

Back

Yes, because each x-value has a unique y-value.

Front

What is the significance of the vertical line test in determining functions?

Back

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

Front

What is an example of a non-function relation?

Back

The relation {(1,2), (1,3)} is not a function because the x-value 1 has two different y-values.

Front

What does it mean for a bus to be 'moving forward' in terms of distance?

Back

It means the bus is changing its position in a positive direction over time.