Domain and Range (Shortened Version)

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 is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.

Front

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

Back

The range is y ≥ 0.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if a function has a range of all real numbers?

Back

It means that the function can produce any real number as an output.

Front

If a function is defined as f(x) = 3x + 1, what is its domain?

Back

The domain is all real numbers.

Front

If a function is defined as f(x) = sqrt(x), what is its domain?

Back

The domain is x ≥ 0.