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Given and . Find . The Statement “ is strictly increasing in ” is false. Justify. Hence, find the…
Given $f(x) = 2\log(x-2) - x^2 + 4x + 1$ and $f'(x) = \frac{-k(x-p)(x-q)}{(x-k)}$.
(a)
Find $k + p + q$.
(b)
The Statement “$f(x)$ is strictly increasing in $(-\infty, 1] \cup (2, 3]$” is false. Justify.
(c)
Hence, find the interval(s) in which the function is strictly increasing.
Answer
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From ISC 2025 Practice Mathematics, question 97.