In the interval [0, 1] , the function x^2 - x + 1 is - Vidyadip

MCQ

In the interval $[0, 1]$ , the function ${x^2} - x + 1$ is

A
Increasing
B
Decreasing
✓
Neither increasing nor decreasing
D
None of these

✓

Answer

Correct option: C.

Neither increasing nor decreasing

c
(c) Let $f(x) = {x^2} - x + 1$, $f'(x) = 2x - 1$

Obviously $f'(0) = - 1$ and $f'(1) = 1$

Thus function is neither increasing nor decreasing.

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