Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

How do you determine the domain of a set of ordered pairs?

Back

The domain is found by listing all the unique x-values from the ordered pairs.

Front

How do you determine the range of a set of ordered pairs?

Back

The range is found by listing all the unique y-values from the ordered pairs.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

A relation is a function if every input (x-value) is associated with exactly one output (y-value).

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.

Front

If a function has an x-value of 11 with two different y-values, is it a function?

Back

No, because the x-value 11 has two y-values paired with it.

Front

What is a reasonable range for the total cost of tickets if the cost is $35 and the domain is {3, 8, 12}?

Back

The reasonable range for the total cost is {105, 280, 420}.