#### Question

Prove that the function *f* given by *f*(*x*) = *x*^{2} − *x* + 1 is neither strictly increasing nor strictly decreasing on (−1, 1).

#### Solution

The given function is *f*(*x*) = *x*^{2} − *x* + 1.

Hence, *f* is neither strictly increasing nor decreasing in interval (−1, 1).

Is there an error in this question or solution?

Solution Prove that the Function F Given By F(X) = X2 − X + 1 is Neither Strictly Increasing Nor Strictly Decreasing on (−1, 1). Concept: Increasing and Decreasing Functions.