Questions: Given the graph of a function f below, state the absolute minimum. A. -0.5 B. 2 C. No absolute minimum. D. -2

Transcript text: 4. Given the graph of a function $f$ below, state the absolute minimum. A. -0.5 B. 2 C. No absolute minimum. D. -2

Solution

Solution Steps

Step 1: Identify the Absolute Minimum

Examine the graph of the function $ f $ to determine the lowest point on the graph. The absolute minimum is the lowest y-value that the function reaches.

Step 2: Locate the Lowest Point

From the graph, observe the y-values of the function. The lowest point on the graph appears to be at $ y = -4 $.

Step 3: Verify the Absolute Minimum

Confirm that there are no other points on the graph with a lower y-value than $ y = -4 $. Since $ y = -4 $ is the lowest point, it is the absolute minimum.