Question

question
for the function f shown in the graph below, find the absolute minimum.
select the correct answer below:
12
3
0
-10
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Explanation:

Step1: Understand the concept of absolute minimum

The absolute minimum of a function is the lowest \(y -\)value (output) that the function attains over its entire domain.

Step2: Analyze the graph

Looking at the \(y -\)coordinates of the points on the graph. The \(y -\)coordinate of the lowest point (in this case, the point with the smallest \(y -\)value among all points on the graph) is what we need.

• The point with \(y = 12\) is not the lowest.
• The value \(x = 3\) is an \(x -\)coordinate, not a \(y -\)coordinate (the function's output).
• The point with \(y=0\) is not the lowest.
• By observing the graph, the lowest \(y -\)value among the given options (and the graph's visible points) is \(y=- 10\).

Answer:

\(-10\)