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

Take the first derivative of the function. Use quotient rule.

Answer 3

ok

Answer 4

8/(x - 4)^2

Answer 5

so? what can you conclude from that?

Answer 6

umm idk

Answer 7

the derivative gives you no critical points, just count the interval end points and compare them.do it

Answer 8

do you know why the derivative give you no critical point?

Answer 9

no

Answer 10

hihi... because it cannot equal 0 at any value of x.

Answer 11

ohh okay

Answer 12

you see, there is no x on numerator , how can you set it =0 to compute x?

Answer 13

ok, the leftover is quite trivial, you can do it, right?

Answer 14

ok, have fun. bye

Answer 15

ok