The graph below shows the function f(x) =- x. If f(x) describes the position of an object over time, at what time is the object moving the fastest in the interval [-2,2] and what is the object's instantaneous velocity? EX AY 10 -4 -8 -10 Time 12 m/s 10 m/s Farly 1900s To Do Li... (x)

The graph below shows the function f(x) =- x. If f(x) describes the position of an object over time, at what time is the object moving the fastest in the interval [-2,2] and what is the object's instantaneous velocity? EX AY 10 -4 -8 -10 Time 12 m/s 10 m/s Farly 1900s To Do Li... (x)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

answers are

12, 10, 1, and can not be computed

The graph below shows the function f(x)= x
x². If f(x) describes the position of
an object over time, at what time is the object moving the fastest in the
interval [-2,2] and what is the object's instantaneous velocity?
AY
10
9.
4
-10
Time
12 m/s
10 m/s
p3 Farly 1900s To Do Li...

Expert Solution

Step 1

Given equations is ;

F(x)= x^3

Now different w.r.t x;

So;

F'(x)= 3x^2

Given, interval [-2,2]

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