1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f(x)= begincasesx+1 ; x<1 λ ; x=1 x2-x+3 ; x>1 endcases be a strictly increasing function at x=1, then the number of integers in the range of λ, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let $f(x)=\begin{cases}x+1 ; & x<1 \\ \lambda ; & x=1 \\ x^2-x+3 ; & x>1\end{cases}$
be a strictly increasing function at $x=1$, then the number of integers in the range of $\lambda$, is

Application of Derivatives

Solution:

Correct answer is (c) 2

Solution Image