Question

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.

Answer 1

@welshfella @LynFran

Answer 2

@adxpoi

Answer 3

ax + b
------
cx - d

plug in values for a b c and d ( not = 0)

Answer 4

a=1 b=2 c=3 d4? is that good? @welshfella srry i was inactive :(

Answer 5

yes so we have
x + 2
-----
3x + 4


you can use desmos to graph this

Answer 6

https://www.desmos.com/calculator/5qfhpf8bgt

asymptotes are breaks in the graph

Answer 7

you see that the x intercept is at (-2,0)

Answer 8

ok

Answer 9

what is the y-intercept

Answer 10

0.5

Answer 11

x= -2

Answer 12

y = 0.5
they want the coordinates of the point which is x = 0 y = 0.5 or (0,0.5)

Answer 13

ok

Answer 14

y intercept is at ( 0 , 0.5)

Answer 15

ok

Answer 16

now the vertical asymptote is the line between where the vertical parts of the go 'off the page'

Answer 17

thats between x = -1 and x = -2 and its difficult to get from the graph
vertical asymptotes occur when the denominator is zero so we can work it ouT:-

3x + 4 = 0
3x = -4
x = -4/3 or about -1.33

Answer 18

should i put x-intercept also ?

Answer 19

yea we 've done that

Answer 20

to work it out we put (x + 2) / (3x + 4) = 0
so x+ 2 = o and x = -2

x intercept at (-2 , 0)

Answer 21

how would you work out the intercept

Answer 22

*y-intercept

Answer 23

put x = 0 in ( x +2) / (3x + 4)

Answer 24

because at the intercepts x = 0

Answer 25

so (0+2) /3(0) + 4)?
(2)/ (0+4)
2/4
1/2?

Answer 26

yes - which is what we read off on the graph

Answer 27

and also the vertic asymptotes is -4/3 OR about -1.33 right but what about the horizontal ?

Answer 28

i cant remember !! lol
hold on

Answer 29

and ok :)

Answer 30

srry I'm throwing everything @ you!

Answer 31

i gotta go right now
as you see form the graph its about y = 0.6

Answer 32

really quick whats the horizontal retricem and show me plesase who to solve