Question

What is the equation for this function?

Answer 1

Please help me in this

Answer 2

EW asymptotes

Answer 3

yup =c

Answer 4

do you know it?

Answer 5

Trying to remember, going in my hippocampus (long term memory part of the brain), I did this stuff 5 years ago haha.

Answer 6

Lol try to remember

Answer 7

Do you know what this certain unit is called?

Answer 8

Rational functions

Answer 9

First, let's figure out what is your function's form.

\[y = \frac{ax+b}{cx+d}\]

Then all we need is to find a,b,c,d. By using asymptotes

Answer 10

this function looks like f(x)=1/x

Answer 11

Ah linh is right, this rings a bell now :)

Answer 12

with shift

Answer 13

Using asymptotes, I found the function is
\[y = \frac{5x+14}{x+2}\]

If you need to guide how to solve, just reply.

Or if you only need result, the above one is.

Answer 14

Timaa do you know what a rational function is?

Answer 15

We have 1 vertical asymptote is x = -2 and 1 horizontal asymptote is y = 5 :)

Answer 16

A rational function is a function of form \[f(x) = \frac{ g(x) }{ h(x) }\], where g(x) and h(x) are polynomials and h(x) cannot = 0.

So lets look at the lines, the function is not defined when x = - 2, because otherwise the denominator cannot equal 0.

A line that a curve approaches more and more closely is called an asymptote.

The line x = - 2 is a vertical asymptote of the graph f(x). Where the graph is discontinuous at x = -2.

So, right now we have f(x) = 1/ x + 2

x + 2 because the function is not defined when x + 2 = 0, x = -2 (vertical asymptote).

Now the horizontal asymptote, here it's y = - 5....but I'm getting tired and have to finish my work, so I'll finish this off next time I'm on lol. I do believe linh gave you the right answer, seems like it would be that.

Answer 17

Thank you so much all of you! I am sorry I didn't reply. the computers battery died at that time, and then I just went to sleep. Again thanks for helping (: