What is the range of the function represented by the graph?

Mathematics · Middle School · Thu Feb 04 2021

Answered on

To determine the range of the function represented by the graph, we need to look at the set of output values (typically on the y-axis) that the function can produce. The range includes all the possible values of y that you get as outputs for the domain (possible x-values) of the function.

Make sure to look for the highest and lowest points on the graph to identify the range. If the graph goes infinitely upward, the upper bound of the range is positive infinity, and if it goes infinitely downward, the lower bound is negative infinity.

Here are logical steps you might follow:

1. Identify the highest and lowest y-values on the graph. 2. Determine whether these y-values are included in the range or not (by checking if the graph touches or includes those points, possibly indicated by a filled-in dot). 3. Look for any gaps in the graph that would indicate missing y-values in the range.

Without seeing the specific graph, I can't provide the exact range, but following these steps should allow you to determine it. For example, if the highest point on the graph is at y = 5 and the graph includes that point, and the lowest point on the graph is at y = -3 but does not include that point (an open circle at the end), then the range of the function is y ≤ 5 and y > -3, which could be written as (-3, 5]