Answer:
y = - 5x - 1
Explanation:
The first thing to do (always) is pay attention to x =0. That at least gives you a partial answer. y = y' - 1. when you put 0 in for whatever y' is you get 0. What about the other numbers? How did they come about.
We have another clue. Whenever you put in a positive number for x, you get a negative answer for y. That's interesting. So y' has a minus sign associated with it.
y = -ax - 1 Make a>0 so there is only 1 minus sign. x cannot have an even power, because an even power would make everything positive except the -1.
So we'll start with y= - ax - 1 We'll also make the assumption that a = 1
y = - x - 1 That won't work. a >1 otherwise x = 2 won't give - 11
y = -ax - 1
let x = 2
let y = - 11 Solve for a
y = - ax - 1
- 11 = -a*-2 - 1 add 1 to both sides
-11 + 1 = - a(-2) - 1 + 1
- 10 = -2a Divide by - 2
- 10/-2 = -2a/-2
a = 5
Answer: y = - 5x - 1