Question

http://prntscr.com/9hkqlk
http://prntscr.com/9hkqpn

Answer 1

Are these correct?

Answer 2

yeah both are correct :)

Answer 3

Ty

Answer 4

first one is wrong...

Answer 5

second one is right...

Answer 6

oh damn yeah x must be greater than 2

Answer 7

@imqwerty you gave @Diana.xL the wrong answer for the first question

Answer 8

yea sorry for that
but its not always decreasing
as for x<2 the value of y goes on increasing

Answer 9

The function is always decreasing.
We are looking at a hyperbola with vertex at point (2,2)
so the equation is y=1/(x-2)+2
dy/dx = -1/(x-2)^2
note that we have the NEGATIVE of a square here so the slope is ALWAYS negative. Ergo, the function is ALWAYS decreasing.

Answer 10

of course at x=2 the function is undefined but beyond that hte function is decreasing at x>2 and x<2 which excludes 2 anyways

Answer 11

yeah i get your point but generally in such ques
for example like we say x<2
it means that as we go away from x=2 ...the value of y keeps increasing

Answer 12

away from x=2 in the negative direction

Answer 13

no. The function is always decreasing because whenever you go towards the right, the value of the function decreases.

If you move in the negative direction, and the function goes DOWN, then the function increases. But your function is going UP in the NEGATIVE direction, implying the function DECREASES.
This function always decreases. Move left and f(x) goes up. move right and f(x) goes down.

Answer 14

I don't know what you're talking about...