Math  /  Calculus

QuestionConsider the graph shown below. y 200 150 100 8. 4 2 50 50 100 150 -200 2 X 6 8 -250 If the complete graph of the function is shown, estimate the absolute maximum and absolute minimum. absolute maximum (x, y) = absolute minimum (x, y) =

Studdy Solution

STEP 1

1. The graph provided is the complete graph of the function.
2. The graph is a continuous function.
3. The absolute maximum and minimum occur at the highest and lowest points on the graph, respectively.

STEP 2

1. Identify the highest point on the graph (absolute maximum).
2. Identify the lowest point on the graph (absolute minimum).

STEP 3

Examine the graph to locate the highest point. According to the image description, the peak appears around (7,150) (7, 150) .

STEP 4

Examine the graph to locate the lowest point. According to the image description, the trough appears around (8,200) (-8, -200) .
The absolute maximum is estimated at: absolute maximum (x,y)=(7,150) \text{absolute maximum } (x, y) = (7, 150)
The absolute minimum is estimated at: absolute minimum (x,y)=(8,200) \text{absolute minimum } (x, y) = (-8, -200)

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