Domain and Range of graphs

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 based on its domain.

Front

How do you determine the range of a graph?

Back

To determine the range of a graph, identify the lowest and highest points on the graph and express the output values (y-values) that fall within that interval.

Front

What does the notation y ≤ 5 represent in terms of range?

Back

The notation y ≤ 5 indicates that the range includes all values of y that are less than or equal to 5.

Front

What is the proper range for a function if the lowest output value is 0?

Back

If the lowest output value is 0, the proper range is y ≥ 0.

Front

What does the notation -2 < y ≤ 2 signify?

Back

The notation -2 < y ≤ 2 signifies that y can take any value greater than -2 and up to and including 2.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you express the domain of a function using inequalities?

Back

The domain can be expressed using inequalities that define the range of acceptable x-values, such as -4 ≤ x ≤ 1.

Front

What does the notation 0 ≤ y < 4 indicate about the range?

Back

The notation 0 ≤ y < 4 indicates that the range includes all values of y starting from 0 up to, but not including, 4.

Front

What is the significance of closed and open intervals in range and domain?

Back

Closed intervals include the endpoints (e.g., [a, b]), while open intervals do not include the endpoints (e.g., (a, b)). This affects whether certain values are included in the range or domain.

Front

How can you visually determine the range of a function from its graph?

Back

You can visually determine the range by looking at the vertical extent of the graph and noting the highest and lowest points.