1. Consider the function f(x) = 3x + 3cot(x/2) on the interval [7/4, 77/4] a. Find the critical values of the function on the given interval. b. Evaluate the function at the critical values in the interval and the endpoints of the interval. c. Find the absolute maximum value and absolute minimum value of the function on the interval. d. Graph this function on the given interval.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Could you answer the last two subparts, please?

1. Consider the function f(x) = 3x + 3cot(x/2) on the interval [7/4, 77/4]
a. Find the critical values of the function on the given interval.
b. Evaluate the function at the critical values in the interval and the endpoints of the interval.
c. Find the absolute maximum value and absolute minimum value of the function on the interval.
d. Graph this function on the given interval.
Transcribed Image Text:1. Consider the function f(x) = 3x + 3cot(x/2) on the interval [7/4, 77/4] a. Find the critical values of the function on the given interval. b. Evaluate the function at the critical values in the interval and the endpoints of the interval. c. Find the absolute maximum value and absolute minimum value of the function on the interval. d. Graph this function on the given interval.
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