Question

Find all absolute and relative extreme values of the function.
f(x) = 2x/x - 4 on (-2,2)

Choose the correct answer.

Answer 1

A. The absolute maximum is f(4) = ∞ and the absolute minimum is f(2) = -2.
B. The absolute maximum is f(2) = -2 and the absolute minimum is f(-2) = 2/3 .
C. The absolute maximum is f(-2) = 2/3 and the absolute minimum is f(2) = -2.
D. The absolute maximum is f(-2) = 2/3 and the absolute minimum is f(4) = -∞ .

Answer 2

@electrokid can u help?

Answer 3

are you there @electrokid

Answer 4

1) find f'(x)
2) make f'(x) =0 and solve for "x"
3) find f''(x)
4) use second drivative test

Answer 5

ok

Answer 6

the derivatives only give you the relative extrema. find f(a) and f(b) for absolute extrema

Answer 7

ok

Answer 8

i got A is that correct?

Answer 9

are u there?

Answer 10

but "4" is not in your domain!!
\(x\in(-2,2)\)

Answer 11

ohh ok

Answer 12

ok i got C

Answer 13

is it correct?

Answer 14

good job