Question

what is the range of the function shown in the graph below? (graph of a coordinate plane with a curve in the fourth quadrant)

Explanation:

Step1: Define range of a function

The range of a function is the set of all possible output (y) values the function can take.

Step2: Analyze the graph's y-values

The graph lies entirely below the x-axis (y=0) and extends downward infinitely, with no lower bound. The highest point of the graph approaches y=0 but never actually reaches it.

Answer:

All real numbers less than 0, or in interval notation: $(-\infty, 0)$