Supposef(0) = 2 and 2 ≤ f '(x) ≤ 7for all x in the interval [−5, 5]. determine the greatest and least possible values of f(2).le
1 answer:
If the slope of the function is 2, the amount it can change over the interval 0–2 is
... 2×2 = 4 units
If the slope is 7, the amount it can change over the interval 0–2 is
... 2×7 = 14 units
The least possible value of f(2) is 2+4 = 6.
The greatest possible value of f(2) is 2+14 = 16.
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