For the function below, f(x) = ,
determine the intervals where the function is increasing. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. list any intervals on which the function is increasing
b. the function is never increasing.

Step-by-step explanation:

Given is a function as

Find its derivative using quotient rule.

Since denominator is always >0 being positive, numerator only decides about the sign of f'(x)

Numerator = x+2-x-9=-7<0 always

Hence the function does not have any interval of increase.

b) The function is never increasing.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

step-by-step explanation:

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