A function $f(x)$ is continuous in the interval $[0,2]$. It is known that $f(0) = f(2) = -1$ and $f(1) = 1$. Which one of the following statements must be true?
@MANSI_SOMANI Think of the function f(x) graphically,
neel19 yes sum, difference, product and division (denominator function !=0) of two continuous functions is also continuous.
This random graph may be helpful:
@Dhananjay Is it necessary to take another function g(x)? Why can't we simply substitute value in both LHS and RHS. Hence why can't B be the correct option?
[Reflect about y axis then horizontal left shift by 2..
This random graph following given conditions will be helpful: