Given the function
$$f(x)=\frac{3x+1}{x-4}$$
Find:
i. the vertical asymptote(s) of the graph f
ii. the horizontal asymptote(s) of the graph f
iii. any x and y intercepts of the graph f if they exist
iv. Sketch the graph

Question

Given the function 
$$f(x)=\frac{3x+1}{x-4}$$
Find:
i. the vertical asymptote(s) of the graph f
ii. the horizontal asymptote(s) of the graph f
iii. any x and y intercepts of the graph f if they exist
iv. Sketch the graph

anonymous · Answer

I really don't know what to do for all of them...

anonymous · Answer

i: x=4 is the only  vertical asymptote because 
$$\lim_{x \rightarrow 4}f(x)=\pm \infty $$

anonymous · Answer

This is for algebra part 1 and not calculus so please don't do the derivate or integrals or use limits, thanks :).

anonymous · Answer

ok

campbell_st · Answer

the horizontal asymptote is y =3 This is found using polynomial division

the vertical asymptote is x = 4 |dw:1340521921076:dw|