Question

How would you explain this ?

Answer 1

Answer:

Step-by-step explanation:

The first thing you have to do is look at the mother curve. That curve is y = 1/x

It becomes undefined at x = 0 (I will show both curves below).

That is not what has been given. The graph you have been given becomes undefined at x = - 1 , so the equation of the curve (so far) y = 1/(x + 1)

Now we have to worry about the y intercept. When x = 0, y = 4. That can be accomplished in two ways

A. y = 4/(x + 1) or

B.  y = 2/(x + 1) + 2 or

C.  y = 1/(x + 1) + 3

All three of these will give a value of y = 4 when x = 0. But you have 1 problem left. What happens as x goes to say 5.

The value of A will give y = 4/(5 + 1)=4/6 = 2/3. Which does not work.

The value of C will give y = 1/(5 + 1) + 3 which gives 3 1/5 which also does not work.

Only B works. y = 2/(5+1) + 2 = 2/6 + 2 = 2 1/3 which is a little above the horizontal asymptote.

Red: y = 1/x

Blue: y = 2/(x + 1) + 2

The value at the end is never going to change. y will always be just a bit