Domain and Range from a graph

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) that will not cause any undefined behavior in the function.

Front

What is the definition of Range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that the function can produce.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values for which the graph has points. The domain is the set of all x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values for which the graph has points. The range is the set of all y-values that the graph covers.

Front

What is the domain of the function f(x) = 2x + 3?

Back

All real numbers.

Front

What is the range of the function f(x) = 2x + 3?

Back

All real numbers.

Front

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

Back

All real numbers except x = 2.

Front

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

Back

y ≥ 0.

Front

If a graph is limited to x-values between -1 and 3, what is the domain?

Back

-1 ≤ x ≤ 3.

Front

If a graph shows y-values from 0 to 6, what is the range?

Back

0 ≤ y ≤ 6.