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91Ó°ÊÓ

Given the following graph of f , graphically estimate the global extrema of f on each of the six intervals listed:

(a)-1,1(b)[2,∞)(c)[-2,1)(d)[0,2](e)(1,∞)(f)-∞,∞

Short Answer

Expert verified

Part (a) Minimum = 0

Part (b) Minimum = 5 Maximum = 2

Part (c) Minimum = 0

Part (d) Minimum = 0

Part (e) Minimum = 0

Part (f) Minimum = 0

Step by step solution

01

Part (a) Step 1. Given information.

Given graph is :

We have to graphically estimate the global extrema of f on:

(a)-1,1(b)[2,∞)(c)[-2,1)(d)[0,2](e)(1,∞)(f)-∞,∞

02

Part (a) Step 2. Global extrema of f on [0,4].

It is seen that the function f has a global minimum at x=-0 as the function is decreased up to that point and the function f has no global maximum.

03

Part (b) Step 1. Global extrema of f on [2,5].

It is seen that the function f has a global minimum at x=-0 as the function is decreased up to that point and the function f has no global maximum.

04

Part (c) Step 1. Global extrema of f on (-2,1).

It is seen that the function f has a global minimum at x=-0 as the function is decreased up to that point and the function f has no global maximum.

05

Part (d) Step 1. Global extrema of f on 

It is seen that the function f has a global minimum at x=-0 as the function is decreased up to that point and the function f has no global maximum.

06

Part (e) Step 1. Global extrema of f on 

It is seen that the function f has a global minimum at x=-0 as the function is decreased up to that point and the function f has no global maximum.

07

Part (f) Step 1. Global extrema of f on 

It is seen that the function f has a global minimum at x=-0 as the function is decreased up to that point and the function f has no global maximum.

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