Find the interval in which function f(x)=x2-4x+5 is increasing:

Question

Find the interval in which function $f (x) = x^{2} - 4 x + 5$ is increasing:

Smart Achievers · Accepted Answer

(1)

Ans. $(2, \infty)$

Explanation:

Here, $f (x) = x^{2} - 4 x + 5$

Then, $f' (x) = 2 x - 4$

$∴$ $f' (x) = 0$

Then, $x = 2$

Now, the point $x = 2$ divides the line into two disjoint intervals, and the interval namely $(2, \infty)$ is increasing on $f (x)$ .

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