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In Mathematics / College | 2025-08-20

Question 6: Find the absolute extrema of the function [tex]$f(x)=3 x(x+4)^{\frac{2}{3}}$[/tex] on [-5,-1]. (10 pts)
a) (Max, Min) = (4,0)
b) (Max, Min) = (-4,-8)
c) (Max, Min) = (0,-15)
d) (Max, Min) = (-1,-7)

Asked by francisco357355

Answer (3)

Just divide the top number of the fraction by the lower number and put a negative symbol in front of the decimal figure.
Example:
-1/4 =. 1divided by 4 = .25 = -.25

Answered by bigdognarrowhead | 2024-06-10

You would still divide numerator by denominator, but keep the negative, even as a decimal ;

Answered by KiraWaters0 | 2024-06-12

To convert a negative fraction to a decimal, divide the numerator by the denominator and apply the negative sign. For example, − 4 3 ​ becomes − 0.75 . This method works for any negative fraction.
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Answered by Anonymous | 2024-09-03