Domain and Range of Graphs

Front

What is the definition of 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 definition of 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 for which the graph has points. 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 reaches. Look for any horizontal asymptotes or gaps in the y-values.

Front

What is the domain of the function represented by the graph if it is defined for x values between 1 and 5?

Back

The domain is 1 ≤ x ≤ 5.

Front

What is the range of the function represented by the graph if it produces y values greater than or equal to 0?

Back

The range is y ≥ 0.

Front

What is the range of the function represented by the graph if it is defined for y values between 1 and 4?

Back

The range is 1 ≤ y ≤ 4.

Front

What is the domain of the function represented by the graph if it is defined for x values greater than -3 and less than or equal to 1?

Back

The domain is -3 < x ≤ 1.

Front

What is the range of the function represented by the graph if it is defined for y values between -2 and 3?

Back

The range is -2 ≤ y ≤ 3.

Front

What is a vertical line test and how is it used to determine the domain?

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, which can affect the domain.