Domain and Range of Graphs

Front

What is the domain of 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 range of 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 graph?

Back

To determine the domain of a graph, identify the x-values that the graph covers. Look for any restrictions such as vertical asymptotes or holes.

Front

How do you determine the range of a graph?

Back

To determine the range of a graph, identify the y-values that the graph covers. Look for any restrictions such as horizontal asymptotes or gaps.

Front

What does it mean if the domain is 'All real numbers'?

Back

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

Front

What does it mean if the range is 'y ≥ 1'?

Back

It means that the output values of the function are all real numbers greater than or equal to 1.

Front

If a graph has a domain of -3 ≤ x ≤ 4, what does this indicate?

Back

This indicates that the function is defined for x-values between -3 and 4, inclusive.

Front

If a graph has a range of 1 ≤ y ≤ 5, what does this indicate?

Back

This indicates that the output values of the function are between 1 and 5, inclusive.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a horizontal line test?

Back

The horizontal line test is a method to determine if a function is one-to-one. If a horizontal line intersects the graph at more than one point, the function is not one-to-one.