PLEASE ANSWER ALL (a) the absolute maximum value, (b) the absolute minimum value
ID: 2866698 • Letter: P
Question
PLEASE ANSWER ALL
(a) the absolute maximum value,
(b) the absolute minimum value,
(d) Does the function reach every value between its absolute minimum value and its absolute maximum value?
PLEASE ANSWER ALL 1) For the function f(x) sketched below, find for what x does the function f(x) reach (a) the absolute maximum value, (b) the absolute minimum value, (c) What is the absolute maximum value of f(x)?, (d) What is the absolute minimum value of f(x)? 2) For the function f(x) sketched above, find (a) values c for which f'(c) = 0, (b) values c for which f'(c) does not exist, (c) values c at which f(x) is not continuous? (d) Does the function reach every value between its absolute minimum value and its absolute maximum value? Problems 3--5. The following functions are defined for all x. Find the critical numbers if they exist. Explain in a sentance how you do it.Explanation / Answer
1.
A. at x= -4 we get absolute maximum which is y= 6
B. at x= -1 we get absolute minimum which is y= - 1.5
2.
A. f '(c) =0 at c= -1
B. f '(c) dos not exist for c= 2
C. f (x) is not continuous for c= 2
D. Yes is does, as the function is continuous btween it maximum and its minimum values.
to find critical points simply find f '(x) and then equate f '(x)=0
3.
f(x)= x
f '(x) = 1
f '(x)= 0 not possible so no critical points
4.
f '(x)= 3x^2+6x-24
f '(x)=0
3x^2+6x-24 = 0
x= -4 and x= 2 are the critical values
5.
f (x)= 2x+3 for x>0
f '(x) =2
no critical points
f (x)= -2x-3 for x<0
f '(x) = -2
no critical points
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