Consider the following function.f(x) = x3 + 3x2 - 45x + 9(a) Make a sign diagram for the first derivative.|---Select--- v---Select-- vSelect--- vSelect-- vSelect--- vX =X =(b) Make a sign diagram for the second derivative.-Select--- vSelect--- v-Select--- vX =(c) Sketch the graph, showing all relative extreme points and inflection points.yyy15015015010010010050IP 3oIP50- 10-510-10-510- 105-50 IP50-50

The given function is f(x)=x3+3x2-45x+9

Answered: Consider the following function. f(x) =…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 3SE: If the order is reversed when composing two functions, can the result ever be the same as the answer...

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Similar questions

How do we determine the domain of a function defined by an equation?
How do you find the domain for the composition of two functions, fg ?
If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not.
In your own words, explain the difference betweena relation and a function.
Consider the following function. f(x) = x4 + 4x³ + 13 (a) Make a sign diagram for the first derivative. -Select--- -Select--- V ---Select--- V ---Select--- V --Select--- (b) Make a sign diagram for the second derivative. -Select--- V -Select--- V -Select--- V Select--- V -Select--- X = X = (c) Sketch the graph, showing all relative extreme points and inflection points. y y y y 15 IP 15 15 15 FIP 10 10 10 10 5 5 IP IP X 4 X -4 -2 4 4 -2 -4 -2 4 IP IP -5 -5 -5 -5 - 10 IP - 10 - 10 - 10 - 15 - 15 IP 15 -15
Consider the following function. f(x) = 4x3 – x4 (a) Make a sign diagram for the first derivative. ---Select-- v ---Select--- ---Select--- v ---Select--- v ---Select-- v X = X = (b) Make a sign diagram for the second derivative. --Select--- v --Select--- v --Select--- v ---Select--- v --Select--- v --- X = X = (c) Sketch the graph, showing all relative extreme points and inflection points.
Consider the following function. f(x) = x3 + 3x2 - 9x + 1 (a) Make a sign diagram for the first derivative. -Select--- v -Select--- -Select--- v Select--- v Select-- v X = X = (b) Make a sign diagram for the second derivative. -Select--- v -Select--- v -Select--- v X = (c) Sketch the graph, showing all relative extreme points and inflection points. y y y 20 20 20 IP 10 10 10 - 10 10 -10 10 - 10 -5 -10 -10 IP IE
find the derivative 9-12
Consider the following function. f(x) = x3 + 3x2 – 45x + 7 (a) Make a sign diagram for the first derivative. Select--- v Select--- v Select--- v Select--- v Select--- v X = X = (b) Make a sign diagram for the second derivative. Select--- v --Select--- v -Select--- v X = (c) Sketch the graph, showing all relative extreme points and inflection points.
Make a sign diagram for the derivative of the function f(x) = x3 - 3x2 -24x+7 including all open intervals of increase and decrease (enter in interval notation)
Consider the following function. f(x) = x2 - 1 (a) Make a sign diagram for the first derivative. -Select--- v --Select--- v -Select--- v --Select--- v -Select--- X = x = (b) Make a sign diagram for the second derivative. Select--- v -Select--- v -Select--- v -Select--- Select-- v -Select--- v Select--- X = X = X =
Consider the following function. f(x) = x2 - 25 (a) Make a sign diagram for the first derivative. Select--- Select--- v ---Select--- v --Select--- v -Select--- v X = (b) Make a sign diagram for the second derivative. Select-- -Select--- v -Select-- Select- -Select--- v Select-- v Select--- v X = x3D (c) Sketch the graph, showing all relative extreme points and inflection points.

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