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10-84.
  1. Examine the graph of f(t) shown below. Homework Help ✎

    Let .

    1. What is the domain of F(x) ?

    2. For what values of x does F(x) attain its absolute maximum and minimum? Justify your answer.

f(t) is defined for 0 ≤ t ≤ 6, so 0 ≤ 2x – 4 ≤ 6.

F(x) represents the area under the curve. Review the graph.
For what value of t will this area be a maximum? A minimum?

The maximum occurs when t = 1. The minimum occurs when t = 6.
What are the corresponding x-values?