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

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

Back

D: {-4, 0, 1, 2}.

Front

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

Back

R: {-4, -3, 1}.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

A relation where an x-value is paired with more than one y-value, e.g., {(1,2), (1,3)}.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

If the domain of a function is {3, 8, 12}, what is a reasonable range for the total cost if each ticket costs $35?

Back

R: {105, 280, 420}.

Front

What is the range of the function defined by the set of points {(0, 4), (1, 4), (2, 7)}?

Back

R: {4, 7}.

Front

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

Back

It means that each x-value in the relation corresponds to exactly one y-value.