Domain and Range

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

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

Front

Is the following relation a function? (x: 1, 2, 3; y: 4, 5, 6)

Back

Function - Each x-value has only one corresponding y-value.

Front

Is the following relation a function? (x: 1, 2, 2; y: 4, 5, 6)

Back

Not a Function - The x-value '2' corresponds to two different y-values.

Front

What must be true for a relation to be classified as a function?

Back

Each x-value must have only one y-value.

Front

Given the function f(x) = 2x + 3, what is the domain?

Back

The domain is all real numbers, as there are no restrictions on x.

Front

Given the function f(x) = 2x + 3, what is the range?

Back

The range is all real numbers, as y can take any value.

Front

What is an example of a function?

Back

f(x) = x^2 is a function because each x-value has one 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 y-values.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.