Find the intervals in which the function f given by f(x) = x2 – 4x + 6 is strictly increasing:

(a) (– ∞, 2) ∪ (2, ∞)

(b) (2, ∞)

(c) (−∞,2)

(d) (– ∞, 2]∪ (2, ∞)

Asked by Abhisek | 1 year ago |  81

##### Solution :-

Right answer is (b) (2, ∞)

Explanation:-

$$f(x)=x^2−4x+6$$

$$f′(x)=2x−4$$

$$f′(x)=0⇒x=2$$

as $$f′(x)>0 \forall x∈(2,∞)$$

f(x) is Strictly increasing in $$(2,∞)$$

Answered by Pragya Singh | 1 year ago

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