Domain and Range from a Graph

Front

What is the domain of a graph?

Back

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

Front

What is the range of a graph?

Back

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

Front

How do you determine the domain from a graph?

Back

Look for the x-values that the graph covers; any x-value that the graph does not touch is not included in the domain.

Front

How do you determine the range from a graph?

Back

Look for the y-values that the graph covers; any y-value that the graph does not touch is not included in the range.

Front

What does it mean if a graph has a domain of -6 ≤ x ≤ 6?

Back

The graph includes all x-values from -6 to 6, including -6 and 6.

Front

What does it mean if a graph has a range of y ≥ 1?

Back

The graph includes all y-values starting from 1 and going upwards, including 1.

Front

What is an example of a function that has a domain of all real numbers?

Back

The function f(x) = x^2 has a domain of all real numbers.

Front

What is an example of a function that is not a function?

Back

The relation that pairs each x-value with multiple y-values, like a circle, is not a function.

Front

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

Back

The domain is all real numbers except x = 0.

Front

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

Back

The range is all real numbers y such that y ≥ 0.