Question

stretch the asymptotes and graph the function y=5/x-2+3

Answer 1

Please use parentheses to indicate which math operations are to be performed first. Did you mean 5 / (x-2) or did you mean 5 / x ?

Also, what do you mean by "stretch the asymptotes?"

Answer 2

5/(x-2)

Answer 3

@mathmale

Answer 4

OK. We have y = 5 / (x+2) +3.

First: How does one locate asymptotes?

Answer 5

I'm really lost with this. Can you break it down for me?

Answer 6

Let's build upon what you already know. What is an "asymptote?" Where have you seen asymptotes before?

Answer 7

i just saw them once in a lesson

Answer 8

they werent really explained

Answer 9

OK. We have y = 5 / (x+2) +3

Next time, please ask questions about whatever you found to be poorly explained. That way someone could help you more efficiently.

In the above equation, what would happen if x = - 2?

Answer 10

2?

Answer 11

Another way in which to ask this same question: Can we let x=-2 in the given equation? Try it and share your results.

Answer 12

y = 5 / (-2+2) +3

Answer 13

That's right. Can you take the math any further than that?

Answer 14

y = 5 / (-2+2) +3
y = 5 /+3

Answer 15

Actually, it'd be\[y=\frac{ 5 }{ 0 }+3\] Make a judgment. Is this OK or not OK? Why?

Answer 16

idk what would make it not ok or ok.

Answer 17

y = 5 / (-2+2) +3
y = 5/0 +3

Answer 18

Have you heard the phrase, "division by zero is .... "?

Answer 19

I havent

Answer 20

Division by zero is undefined. We can't divide by zero, period.

This limitation means that you cannot let x=2. Why? Because then the denominator of 5 / (x-2) would be zero, which is not permitted.

We'll need to come back to this later. But for now, having identified the x value for which the function is undefined, we can write, "the vertical asymptote of the graph of this function is the vertical line x=2. You could draw a set of coordinate

Answer 21

axes and then draw the vertical line x=2 as well. Your graph can NOT cross this vertical axis.

Answer 22

Once again, your graph can NOT cross the vertical line x=2, which is your "vertical asymptote."

Answer 23

so that is when lines to not cross?

Answer 24

its kind of coming back to me now
i thought it was when lines dont cross the axis

Answer 25

I'm sorry, Dani, but I need to get off the Internet now. But I'd be glad to continue this discussion. Tag me later on today, or repost this question.

To answer you question: It's the graph that can't cross the verticql asymptote, x=2.

I will go into that further when we reconnect.

For now, I challenge you to look at the equation given and try to figure out what happens to y as x becomes larger and larger. This is how you determine your "horiz. asymptote."