Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

Which of the following function are increasing or decreasing on the interval given? $x^{2}-1 $on$[0 , 1]$

Note: This is part 1st of a 5 part question, split as 5 separate questions here.

Can you answer this question?

1 Answer

0 votes
  • (i) If $f'$ is positive on an open interval $I$. Then $f$ is strictly increasing on $I$
  • (ii) If $f'$ is negative on an open interval $I$, then $f$ is strictly decreasing on $I$
$f(x)=x^2-1$ and the interval is $[0,1]$
$f'(x)=2x \geq 0$ on $[0,1]$
$\therefore f(x)$ is increasing on $[0,1]$
answered Jul 29, 2013 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App