Pls help, Im confused :( A clear solution would help. (Also, to whoever was pretending to be me when I was a guest and making people think I was a spammer, please don't do that to other guests, its not nice) Thanks!

BunnyHop55 Nov 19, 2020

#2**+1 **

Thank you so much! Im still a little confused how you got that though, could you give me an explanation?

BunnyHop55 Nov 19, 2020

#4**+2 **

1st one

The horizontal asymptote will be given by the ratio of the coefficients on the variable x in the numerator and denominator

So a/1 = -4 implies that a = -4

A vertical asymptote will occur when the denominator = 0

So....when x= 3 we have that 3 + c = 0 → c = -3

And since f(1) = 0.....this means that

0 = -4(1) + b

_________ multiply both sides by x -3

x - 3

So we have

0 = -4 + b → b = 4

Our function is

f(x) = -4x + 4

_______

x - 3

Here is the graph :

https://www.desmos.com/calculator/vgpwl6hezj

CPhill Nov 19, 2020

#5**+2 **

Second one .....this one is a little tougher

Similar to the first....we have that

r/2 = -4 multiply both sides by 2

r = -8

Since we have a vertical asymptote at x = 3....we need to solve this

2(3) + t =0

6 + t = 0

t = -6

And since the point (1,0) is on the graph, we can ignotr the denomiantor and solve

-8(1) + s = 0

-8 + s = 0

s= 8

Our function is

f(x) = -8x + 8

_______

2x -6

Graph here : https://www.desmos.com/calculator/plavxacf5r

CPhill Nov 19, 2020