Question

How do you graph `y=5/x+4` using asymptotes, intercepts, end behavior?

Answer 1

Explanation:

We already know the graph of y=5/x and it's asymptotes are y axis and x axis

`(y-4)=5/x`
This kinda reduces to `Y=5/x`
here `Y=y-4` i.e origin is shifted to (0,4).
Hence asymptotes will be be *y axis and y=4*

Further put y=0 to find the x intercept
x intercept = -5/4= -1.25

Thus graph becomes