Consider the following. (a) Dtermine the interval(s) on which f \' (x) is positi
ID: 2866551 • Letter: C
Question
Consider the following.
(a) Dtermine the interval(s) on which f ' (x) is positive and negative, assuming that the figure is the graph of f (x) on (0,6). (Enter your answersu sing interval notation. Enter EMPTY or 0/ for the empty set.)
Postitive = ___________
Negative = ___________
(b) Dtermine the interval(s) on which f(x) is increasing or decreasing, assuming that the figure is the graph of f ' (x). (Enter your answers using interval notation. Enter EMPTY or 0/ for the empty set.)
Increasing = ___________
Decreasing = ___________
Consider the following. (a) Dtermine the interval(s) on which f ' (x) is positive and negative, assuming that the figure is the graph of f (x) on (0,6). (Enter your answersu sing interval notation. Enter EMPTY or 0/ for the empty set.) Postitive = ___________ Negative = ___________ (b) Dtermine the interval(s) on which f(x) is increasing or decreasing, assuming that the figure is the graph of f ' (x). (Enter your answers using interval notation. Enter EMPTY or 0/ for the empty set.) Increasing = ___________ Decreasing = ___________Explanation / Answer
As we know that if f '(x) > 0 it means positive and if f '(x) <0 it means negative
a) positive [ 3-sqrt5,3] to [3+sqrt5, infinity)
negative ( -infinity, 3-sqrt5] to[3,3+sqrt5]
b) increasing at [ 3-sqrt5,3] to [3+sqrt5, infinity)
decreasing at ( -infinity, 3-sqrt5] to[3,3+sqrt5]