Questions: What is the range of the function shown in the graph below?

What is the range of the function shown in the graph below?
Transcript text: What is the range of the function shown in the graph below?
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Solution

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Solution Steps

Step 1: Identify the lowest point on the graph

The lowest points on the graph are at $y = -12$ when $x = 5$ and $x = 7$.

Step 2: Identify the highest point on the graph

The highest point on the graph is at $y = -8$ when $x = 6$.

Step 3: Determine the range

The range of the function is the set of all possible output values (y-values). Since the graph continues downwards from the highest point, the range extends from negative infinity up to the highest y-value, which is -8.

Final Answer

\\( \boxed{(-\infty, -8]} \\)

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