Question

7
Find the intervals in which the function of is given by
f(x) = x² - 4x+6 is a) Strictly
increasing b) Strictly decreasing

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Answer 1

Answer:

f(x) = x^2 - 4x + 6

= x^2 - 4x +4 +2

f(x) = (x-2)^2 + 2

we can see that if x is greater than or equal to 2 OR less than or equal to zero, the function is strictly increasing.whereas in the domain [0,2], the function is strictly decreasing

hence interval for function to be strictly increasing

(-infinity, 0]U[2, infinity)

interval for function to be strictly decreasing

[0,2]