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Lesson: Locating Absolute Extrema

In this lesson, we will learn how to find the absolute maximum and minimum.

Worksheet: Locating Absolute Extrema • 8 Questions

Q1:

Determine the absolute maximum and minimum values of the function on the interval .

  • AThe absolute maximum is 2, and the absolute minimum is .
  • BThe absolute maximum is 12, and the absolute minimum is .
  • CThe absolute maximum is 6, and the absolute minimum is .
  • DThe absolute maximum is 128, and the absolute minimum is .

Q2:

Determine the absolute maximum and minimum values of the function , in the interval , approximated to two decimal places.

  • Aabsolute maximum = , absolute minimum =
  • Babsolute maximum = 47.00, absolute minimum = 2.00
  • Cabsolute maximum = 170.80, absolute minimum = 113.10
  • Dabsolute maximum = 2.00, absolute minimum = 2.00

Q3:

Determine the absolute maximum and minimum values of the function in the interval .

  • A The absolute maximum value is , and the absolute minimum value is .
  • B has no local maximum or minimum values
  • C The absolute maximum value is , and the absolute minimum value is .
  • D The absolute maximum value is , and the absolute minimum value is 48.
  • E The absolute maximum value is 32, and the absolute minimum value is 0.
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