SOLUTION: Let f be a function such that f(0) = 2 and f'(x)<=6 for -10<=x<=10. A) What is the maximum possible value of f(4)? B) What is the maximum possible value of f(2)? C) Can f(5) be

Question 1027572: Let f be a function such that f(0) = 2 and f'(x)<=6 for -10<=x<=10.
A) What is the maximum possible value of f(4)?
B) What is the maximum possible value of f(2)?
C) Can f(5) be negative? Can f(5) = 0? Why or Why not?
D) Can f(5) = 31? Can f(5) = 35? Why or why not?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
A) At most,

.
.
B) At most,

.
.
C) Yes, the only limit is on the positive end. The derivative can be negative so then the value can take any value less than .
.
.
.
D) is limited just like and are.
The maximum value is,

So, .

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