PreClac - 1.1 Review

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that correspond to the input values (x-values) in the relation.

Front

Given the relation { (1, 2), (1, 4), (2, 3), (3, 7) }, what is the range?

Back

The range is {2, 4, 3, 7}.

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

How can you determine if a mapping is a function?

Back

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

Front

Is the mapping {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 3).

Front

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

Back

It means that at least one x-value is associated with more than one y-value.

Front

Given the table: x | y 1 | 2 1 | 3 2 | 4, is this a function?

Back

Not a Function, because the x-value 1 has two y-values (2 and 3).

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

Is the relation {(2, 3), (3, 4), (4, 5)} a function?

Back

Yes, because each x-value has only one y-value associated with it.

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 which the function is defined.