Domain and Range

Front

What is the range of a function?

Back

The range is the set of all possible y-values (outputs) of a function.

Front

What is the domain of a relation?

Back

The domain is the set of all possible x-values (inputs) of a relation.

Front

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

Back

A relation is a function if each x-value has exactly one y-value associated with it.

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.

Front

If a function has the range {0, 4, 7}, what does this mean?

Back

It means that the output values of the function can only be 0, 4, or 7.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

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

Front

How can you find the range of a graph?

Back

The range can be found by identifying the lowest and highest points on the graph and determining all the y-values that are covered.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

What is the range of the function f(x) = x^2 for x ≥ 0?

Back

The range is [0, ∞) because the output values start from 0 and go to infinity.