: f(x) = 3x2-4x-4 on [0,2]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Please answer all parts of the question, for all sections of the questions. The parts of the question are seperate below.

1. Find the critical points

2. Find the values of the critcal points

3. Find the endpoints

4. Find the absolute maximum point 

5. Find the absolute minimum point within the given interval

The sections of the questions are A, B, C, and D. 

A: f(x) = 3x2-4x-4 on [0,2]

B: f(x)=sin2x on [pi/4, 5pi/4]

C: f(x)=(x2+2x+1)/(3x+2) on [-1/2,1/2]

D: y=(x2-x-6)2/3 on [0,3]

Lastly, please write neatly without any cursive as it is hard to read. Preferably, type all the work and answers, then there is no misinterpretation of any work or answers. Thank you so much!

II. For each function below find the critical points, the values at all critical points and
endpoints, the absolute maximum point, and the absolute minimum point within the given
interval.
A) f(x) = 3x² - 4x − 4
|
B) f(x)=sin²x
c) f(x) =
on
x²+2x+1
3x+2
on [0, 2]
on
D) y = (x²-x-6) ²/3 on [0₂3]
Transcribed Image Text:II. For each function below find the critical points, the values at all critical points and endpoints, the absolute maximum point, and the absolute minimum point within the given interval. A) f(x) = 3x² - 4x − 4 | B) f(x)=sin²x c) f(x) = on x²+2x+1 3x+2 on [0, 2] on D) y = (x²-x-6) ²/3 on [0₂3]
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