Question

Can someone help i have no clue how to do this..
What is the graph of the function f(x) = the quantity of x plus 7, all over x minus 4?

Answer 1

If at all possible, please present your equations symbolically, not in words. Your "function f(x) = the quantity of x plus 7, all over x minus 4" should look like:\[f(x)=\frac{ x+7 }{ x-4 }\]

Answer 2

first time on here didnt know

Answer 3

Check this out: what happens to f(x) if x=4? It's important that you recognize this.

Secondly, what happens as x grows larger and larger? y approaches what value?

Try x=10, x=100, x=1000, and so on, and keep track of the resulting y-values.

Answer 4

I'm glad you're on OpenStudy now and hope you will find it to be a great place to learn and teach.

Answer 5

im still confused

Answer 6

Have you heard of or used the word "asymptote" before?

Answer 7

It has to do with graphing functions.

Answer 8

I asked you to try substituting x=4 into the given equation and tell me what happens to the denominator. What happens to the whole fraction?

Answer 9

it cancels out?

Answer 10

Hope you continue to find it interesting to explore OpenStudy. To be honest with you, I'm expecting guests to arrive soon and will then be unavailable. I will help you all I can; when not here, someone else will likely step in.

Answer 11

What cancels out? Explain.

Answer 12

Elisha?

Answer 13

the denominator would be zero

Answer 14

4-4 right?

Answer 15

Yes, and what happens if the den. becomes zero?

Answer 16

11/0 = ?

Answer 17

11?

Answer 18

Is division by zero permitted?

Answer 19

11/1=11;
11/0= ?
11/2 = ?

Answer 20

no so would it be 0?

Answer 21

Division by zero is "undefined" (not zero).

Answer 22

the reason I'm leading you thru all this is that we cannot let x=4 in your function, because division by zero would occur. x may be less than 4 or more than 4, but not = to 4.

Can you use the Draw utility to sketch a set of coordinate axes and then draw a vertical dashed line thru x=4?

Answer 23

im not good with graphs at all

Answer 24

Click on the Draw button, below. experiment a bit (use the menu).
Then draw a set of coordinate axes and mark x=4 and draw a vert. line thru x=4.
Practice is the way to become "good with graphs." Seriously.

Answer 25

can you give me an idea?

Answer 26

sorry for the delay. I have visitors fromj England here at my house in California.
I will start you out with a simple drawing: