My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
June 2nd, 2017, 10:50 AM   #1
Senior Member
 
Joined: Nov 2015
From: hyderabad

Posts: 153
Thanks: 1

Continuous function

1. If $\displaystyle f:[-1,2] \rightarrow R $ is continuous and $\displaystyle f(1) < f(0) $, then

A) $\displaystyle f([0,1]) \subseteq [f(1),f[0)]$.
B) $\displaystyle f([0,1]) \supseteq [f(1),f[0)]$.
C) $\displaystyle f([0,1]) = [f(1),f[0)]$.
D) $\displaystyle f([0,1])$ need not be a closed interval.


Please someone help to solve these kinds of problems like comparing two values
Lalitha183 is online now  
 
June 2nd, 2017, 11:47 AM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 6,854
Thanks: 2228

Math Focus: Mainly analysis and algebra
First, clearly determine the meaning of the notation. This is especially critical for A, B and C.
Second, since D is significantly different than the rest, can you eliminate it or accept it?
v8archie is offline  
Reply

  My Math Forum > College Math Forum > Real Analysis

Tags
continuous, function



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Total variation of a continuous function (of bv) is continuous fromage Real Analysis 0 May 13th, 2017 11:07 PM
h(y) is a continuous function of y jiggs Real Analysis 1 December 5th, 2016 06:39 PM
Function Continuous pass92 Calculus 3 November 25th, 2016 05:55 AM
continuous function Mahboob Math 1 March 14th, 2015 06:25 AM
continuous function frankpupu Calculus 5 February 13th, 2012 04:58 AM





Copyright © 2017 My Math Forum. All rights reserved.