Domain and Range of Continuous Graphs

Front

What is the definition of 'Domain' in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of 'Range' in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

How do you determine the domain of a continuous graph?

Back

Identify the x-values for which the function is defined.

Front

How do you determine the range of a continuous graph?

Back

Identify the y-values that the function can output.

Front

What is the domain of the function f(x) = x^2 for all real numbers?

Back

All real numbers.

Front

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

Back

y ≥ 0.

Front

What does it mean if a function has a restricted domain?

Back

It means there are specific x-values that are not included in the function.

Front

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

Back

All real numbers except x = 0.

Front

What is the range of the function f(x) = 1/x?

Back

All real numbers except y = 0.

Front

If a graph extends infinitely to the left and right, what can be said about its domain?

Back

The domain is all real numbers.