9. Sketch the graph of f(x) = (x - 3) (x+ 2)³ and find the following if they exist (if it does not exist, write DNE). Give approximate values of x for the following: a. a. relative maximum point(s) b. b. relative minimum point(s) с. c. inflection point(s) d. d. interval(s) where f is concave down 2(9x2 + 6x - 49) 2(x+ 2.7)(x -2.02) 2Vx-3(3a+1) 3 x+ 2 f'(x) = and f"(x) = V(z + 2)* V(z – 3) %3D 9 (x +2)" (-3)²

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 23SE: For the following exercises, consider the graph shown in Figure 16. Estimate the point(s) at which...
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9. Sketch the graph of f(x) = (x – 3) (x +2)³ and find the following if they exist (if it does
not exist, write DNE). Give approximate values of x for the following:
a. relative maximum point(s)
a.
b. relative minimum point(s)
b.
c. inflection point(s)
с.
d. interval(s) where f is concave down
d.
2(9x2 + 6x –
2 x - 3(3x+ 1)
f'(x) =
3Va+2
49)
2(x+ 2.7)(x - 2.02)
and f"(x)
(x -
(x+
- x
Transcribed Image Text:9. Sketch the graph of f(x) = (x – 3) (x +2)³ and find the following if they exist (if it does not exist, write DNE). Give approximate values of x for the following: a. relative maximum point(s) a. b. relative minimum point(s) b. c. inflection point(s) с. d. interval(s) where f is concave down d. 2(9x2 + 6x – 2 x - 3(3x+ 1) f'(x) = 3Va+2 49) 2(x+ 2.7)(x - 2.02) and f"(x) (x - (x+ - x
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