I have tried numerous times and have gotten the answers wrong. Please show work.
ID: 2876958 • Letter: I
Question
I have tried numerous times and have gotten the answers wrong. Please show work. Thanks!!
(1 pt Below ls the graph of the derivative f(a) (z a function defined on the interval 0,8 You can click on the graph to see a larger version in a separate window. (a) For whal values af I in [0,8 is f() increasing? Enter your answer as one olased inlerval ar as a union of closed intervals. Answer (b) For what values of I in [0,8 is f(z) decreasing? Enter your answer as one closed interval or as a union of closed intervals. Answer12.4JU4.6] OPTIONAL: Can you cre ate your own crude sket of what y = 2 might look like based on your n om ation from parts a and b)? That may help you understand the next two arts. (c) Find all values of in [0,8] is where f () has a local maximum, and list them (separated by commas) in the box below. If thare are no local maxima, enter None. Answer 2.41U[4,6 Local Maxima: 2,6 HINT: An endpoint of the graph could still be a local maximum even if the derivative is not 0 there! For example, if the left ond has ncgative derivatives on its right side, that means the points next to the left end are at lower values. (d) Find all values of in [0,8I is where f(r) has a local minimum, and list them (separated by commas) in the box below. If there are no lacal minima, enter Nans Local Minima: HINT: An endpoinl could also be a local minimum, using similar ideas to the previous hint.Explanation / Answer
a)f(x) is increasing when f '(x)>0
[0,3]U[5,8]
b)f(x) is decreasing when f '(x)<0
[3,5]
c)f(x) has a local maximum when f '(x) changes from positive to negative,f '(x)=0
at x =3 ,f(x) has a local maximum
local maximum:3
it looks the graph of derivative is not touching x axis at x =8 , if it touches
f(x) has a local maximum at x =3,8
d)f(x) has a local minimum when f '(x) changes from negative to positive, f '(x)=0
at x =5 ,f(x) has a local minimum
local minimum:5