Q. In the interval [0, 1], the function $x^{2} - x + 1$ is
A) Increasing
B) Decreasing
C) Neither increasing nor decreasing
D) Do not say anything
Explanation
(c)
Let$f(x) = x^{2} - x + 1$
$\Rightarrow f^{'}(x) = 2x - 1$
$\Rightarrow f^{'}(0) = - 1$
And $f^{'}(1) = 1$
Thus, function is neither increasing nor decreasing.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.