what is the range of the function shown in the graph below? answer attempt 1 out of 2 answer type: interval…

what is the range of the function shown in the graph below? answer attempt 1 out of 2 answer type: interval interval:

what is the range of the function shown in the graph below? answer attempt 1 out of 2 answer type: interval interval:

Answer

Explanation:

Step1: Identify the highest and lowest y - values

The highest point of the graph has a y - value of 2 (at the vertex). The graph extends downwards infinitely, so the lowest y - value approaches negative infinity.

Step2: Write the range in interval notation

The range of a function is the set of all possible y - values. Since the lowest y - value is $-\infty$ and the highest is 2 (inclusive), the interval notation is $(-\infty, 2]$.

Answer:

$(-\infty, 2]$