Question

Help with Rational functions?

Answer 1

I've already started so I have the asymptotes as well as one of the graphs, but I can't seem to get the second. This is the answer, how do I get the above graph?

Answer 2

plug in numbers for x.

Answer 3

I already did that, I got the graph below, I need the graph above.

Answer 4

@ganeshie8

Answer 5

Which is the graph above? what do you mean by that?

Answer 6

The curved line that's in the Ist Quadrant and then goes into the 4th Quadrant

Answer 7

But you can plug in numbers for x, with x>5, and you'll obtain it.

Answer 8

Do you try it?

Answer 9

Ohh, I have to put in numbers more than 5 to get that? So for the graph in the 3rd Quadrant and the 4th Quadrant, I had to plug in stuff less than -3?

Answer 10

Exact ;)

Answer 11

I got what they got, but I plotted -3, -2,-1,0,1,2,3, why is that?

Answer 12

Oh nevermind, that was the x, not y, haha I get it:3

Answer 13

Sorry, your answer should be,

Ohh, I have to put in numbers more than 5 to get that? So for the graph in the 3rd Quadrant and the 4th Quadrant, I had to plug in stuff less than "5"?

Answer 14

Ok, that's the way. The vertical asymptote divides the graph, so you only have to plug in values that are above and below that value.

Answer 15

There is another way to graph this functions. Provided you know the graph of 6/x, you must:
- Shift the function 5 units to the right, and obtain 6/(x-5)
- Shift the function 3 units down, and obtain 6/(x-5)-3

Answer 16

Oh, I don't know yet :/ I'll do the one you showed me first

Answer 17

A usefull website to plot functions is this,

http://www.wolframalpha.com/input/?i=Plot%5B6%2Fx%2C%7Bx%2C-3%2C3%7D%5D

In case you want to practice another interesting functions.

Answer 18

Hmm, okay! Thanks c: