Question

1) y ={ 1/x+1 } +4

2) 2x+8/3x-9


Domain
Range
V Asym
H Asym
Y-Intercept

Graph:

Answer 1

I need help here @goformit100

Answer 2

Madam, sorry but can you wait for me, I am solving it.

Answer 3

Sure no problem

Answer 4

Madam See It may help you out http://www.google.co.in/#output=search&sclient=psy-ab&q=%282x%2B8%29%283x%2B9%29&oq=2x%2B8%2F3x-9&gs_l=serp.1.0.0i30j0i8i30.10962.10962.1.15057.1.1.0.0.0.0.178.178.0j1.1.0...0.0...1c.1.9.psy-ab.2OscIoceJ04&pbx=1&bav=on.2,or.r_qf.&fp=b3dafbcafab265ad&biw=1024&bih=629

Answer 5

Is that for the first 1? And I need to fill out the domain & range below .

Answer 6

It was for the second one.

Answer 7

Okay thank you.
Domain
Range
V Asym
H Asym
Y-Intercept

Answer 8

Asym will be denoting the line satisfying and touching the Maximum point of the graph

Answer 9

There are two possibilities because you didn't really specify the problem.

Either

Y = 1/(X+1) OR Y = 1/X + 1

Either way, firs tyou substitute 4 in for Y in the first equation.


For the first possibility

4 = 1/(X+1)

4(X+1) = 1 (Multiply both sides by X+1)
4X + 4 = 1 (Distribute)
4X = -3 (Subtract 4)
X = -3/4 (Divide by 4)


Second possibility

4 = 1/X +1
3 = 1/X (Subtract 1)
3X = 1 (Multiply by X)
X = 1/3 (Divide by 3)

Answer 10

For number one right?

Answer 11

Oh it's not solving for x . It's graphing the equation. @steffanie1995

Answer 12

ohh my bad.. Hold up

Answer 13

@steffanie1995 yes madam plz go through the question again.

Answer 14

Sorry I don't know. I'm bad at math.

Answer 15

Haha no problem as well am I.

Answer 16

Domain for both the equations will be Real Numbers

Answer 17

Did you understood till here. ?

Answer 18

Hmmm a little bit.

Answer 19

And what left to be unanswered Plz Mention it madam.

Answer 20

1. Domain:
What value makes denominator zero?
Solve x + 1 = 0
That value must be excluded from domain.

Answer 21

For the second graph I have figured out:
D: \[x \neq \frac{ 2 }{ 3 }\]
R: \[y \neq 3\]
V Asym: 3
H Asym: 2/3
Y Intercept : ?

Answer 22

Your above solutions are correct

Answer 23

Now its the matter of Y...

Answer 24

@mathstudent55 Is the above correct?

Answer 25

Yes above one is correct

Answer 26

Hey its correct, no worries @Ozzy733

Answer 27

For y-intercept just think of x=0, so
\[y=\frac{2x+8}{3x-9} \\ \\ y=\frac{2(0)+8}{3(0)-9} \\ \\ y=-\frac{8}{9}\]
\[\large (0,-\frac{8}{9})\]

Answer 28

Thanks! While I solve the y-intercept for the first graph, could you tell me what the h asym and domain would be for the first graph? As well as the graph sketch.

Answer 29

Would the y-intercept for the first graph just be 5?

Answer 30

@.Sam. ^

Answer 31

For the first one is it\[y=\frac{1}{x+1}+4\]

Answer 32

@Ozzy733 @.Sam.

Answer 33

Yes it is

Answer 34

It's a reciprocal with the graph shifted upwards by 4

Answer 35

yes the y-intercept is 5

Answer 36

Okay great! I'm stuck on the domain & hasym. I know it's a/c but I don't understand how to get it from this setup.

Answer 37

For Horizontal asymptote, as "x" approaches -1, the equation becomes infinity
For Vertical asymptote, as "x" approaches infinity, the \(\huge\frac{1}{x+1}\) becomes too small and we can just call it zero, so it leaves with 4.

Answer 38

My Doubt :-
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of preparation. Chain-growth polymers, also known as addition polymers, are made
by chain reactions—the addition of monomers to the end of a growing chain. The end
of the chain is reactive because it is a radical, a cation, or an anion. Polystyrene—used
for disposable food containers, insulation, and toothbrush handles, among other
things—is an example of a chain-growth polymer. Polystyrene is pumped full of air to
produce the material known as Styrofoam®.

Answer 39

So the asym is 0?

Answer 40

Thanks so much!

Answer 41

H:-1
V:4

Answer 42

welcome :)

Answer 43

So then the domain would be \[x \neq 4\] correct?

Answer 44

Yes
the domain would be
x≠4
is correct.