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