Omar wants to simplify the following expression. What should be his first step? 6 x (3 + 9) - 5
1 answer:
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Answer: Absolute minimum: f(-1) = -2
Absolute maximum: f() = 12.5
Step-by-step explanation: To determine minimum and maximum values in a function, take the first derivative of it and then calculate the points this new function equals 0:
f(t) =
f'(t) =
f'(t) =
f'(t) = = 0
For this function to be zero, only denominator must be zero:
t = ±
≠ 0
t = ± 5
Now, evaluate critical points in the given interval.
t = and t = - 5 don't exist in the given interval, so their f(x) don't count.
f(t) =
f(-1) =
f(-1) =
f(-1) =
f() =
f() = 12.5
f(5) =
f(5) = 0
Therefore, absolute maximum is f() = 12.5 and absolute minimum is
f(-1) = .