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 function from its graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

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

Back

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

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 a domain of -4 < x < 3, what does this mean?

Back

This means that the function is defined for all x-values between -4 and 3, not including -4 and 3.

Front

If a function has a range of -1 < y < 1, what does this mean?

Back

This means that the output values of the function are between -1 and 1, not including -1 and 1.

Front

Can a function have a domain that includes negative numbers?

Back

Yes, a function can have a domain that includes negative numbers, as long as those values are valid inputs for the function.

Front

What is an example of a function with a limited domain?

Back

An example is f(x) = sqrt(x), which has a domain of x >= 0 because square roots of negative numbers are not defined in the real number system.