Question

Task 3—Graphing Rational Functions
Create a rational function with a linear binomial in both the numerator and denominator.
Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and intercepts.
Part 2. Show all work to identify the vertical asymptote, the x-intercepts, and the y-intercept.
@Preetha @ganeshie8 @Abhisar @dan815 @e.mccormick @cram @paki @SolomonZelman @hartnn

Answer 1

@Nurali @paki

Answer 2

@shamil98

Answer 3

@Compassionate

Answer 4

@***[ISURU]***

Answer 5

Well let's just say that
f(x) = x+1 / x-1

Answer 6

okay

Answer 7

then you can graph that on your calculator
vertical retricemtote is x= 1
since anything /0 is undefined.

Answer 8

horizontal retricemtote is at y=1
because by calculus, limit of f(x) as x approaches +infinity and -inifinity is 1

Answer 9

3. show work
f(x) = (x+1)/ (x-1)
f(1) = 1+1 / 1-1
f(1) = 2/0 = undefined.
Therfore we have vertical retricemtote at x=1

Answer 10

Can you please elaborate for me, and I am sorry if I disappear for a bit, my browser is broken

Answer 11

Alright. got it. Thanks

Answer 12

vertical asymptote, you can look at this explanation:
http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/18-rational-functions-finding-horizontal-slant-asymptotes-01.htm

Answer 13

Is the answer
f(x) = (x+1)/ (x-1)
f(1) = 1+1 / 1-1
f(1) = 2/0 = undefined.
Therfore we have vertical retricemtote at x=1

Answer 14

Yes :)

Answer 15

oh I mean horizontal retricemtote, you can look at that link :)

Answer 16

My explantion, when you look for horizontal retricemtote, is the power of x equal on top and botton of fraction?

x+1/x-1
seems like top and bottom have the same x^1

Answer 17

Now you look at the coefficient infront of x

y= x+ 1 / x-1 is same as 1x + 1 / 1x -1
Take in cosideration of x only when you find horizontal retricemtote of this graph

y = 1x / 1x
y= 1/1
y =1

So y = 1 is the horizontal retricemtote