9. Factor and sketch ƒ (x) = -2x° – 10x + 18x* + 162x³ + 216x2 b) State when the IROC is zero c) Estimate the rate of change at x = -2 Solution f (x) = -2x – 10x + 18x + 162x³ + 216x² = -2x? [x* + 5x3 – 9x² – 81x – 108] %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Question
Solve (b) and (c) and show and explain your work.
Factor and sketch f (x) = -2x° – 10x° + 18x* + 162x³ + 216x²
b) State when the IROC is zero
c) Estimate the rate of change at x = -2
Solution
f (x) = -2x6 – 10x³ + 18x4 + 162.x³ + 216x²
-2x² [x* + 5x³ – 9x² – 81x – 108
%3D
3|1 +5 -9 -8 - 108
-3 -6 45 108
(X+3(メ+3)(-x-12
= ( X+33 (x-4)x+3)
- (x+33(x-4)
| 2 - 15 -3 o
(X+ 3)( x°+ 2x- 15x - 36)
3112-1s - 36
-3 3 36
FINAL
fex) = x°cx+3°( x-4
1-| -12 o
-3
Transcribed Image Text:Factor and sketch f (x) = -2x° – 10x° + 18x* + 162x³ + 216x² b) State when the IROC is zero c) Estimate the rate of change at x = -2 Solution f (x) = -2x6 – 10x³ + 18x4 + 162.x³ + 216x² -2x² [x* + 5x³ – 9x² – 81x – 108 %3D 3|1 +5 -9 -8 - 108 -3 -6 45 108 (X+3(メ+3)(-x-12 = ( X+33 (x-4)x+3) - (x+33(x-4) | 2 - 15 -3 o (X+ 3)( x°+ 2x- 15x - 36) 3112-1s - 36 -3 3 36 FINAL fex) = x°cx+3°( x-4 1-| -12 o -3
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