Domain and Range of Continuous Graphs

Front

What is the DOMAIN of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the DOMAIN from a graph?

Back

Identify the x-values for which the graph exists; look for any breaks, holes, or vertical asymptotes.

Front

How do you determine the RANGE from a graph?

Back

Identify the y-values that the graph reaches; look for the highest and lowest points on the graph.

Front

What does it mean if the DOMAIN is 'All Real Numbers'?

Back

The function is defined for every possible x-value.

Front

What does it mean if the RANGE is 'All Real Numbers'?

Back

The function can produce every possible y-value.

Front

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

Back

f(x) = √x, where the DOMAIN is x ≥ 0.

Front

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

Back

f(x) = x^2, where the RANGE is y ≥ 0.

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) = 1/(x-2)?

Back

The RANGE is all real numbers except y = 0.