Question

How do the graphs of y=1/x and y=5/x+6 compare?

Answer 1

Answer:  The graph is attached.

Step-by-step explanation:  The given functions whose graphs are to be compared are as follows:

$y=\dfrac{1}{x},~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)\\\\\\y=\dfrac{5}{x}+6.~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

In the attached figure, the graphs of both (A) and (B) are shown. We can easily see see from there, the shapes of both the graphs are same.

But, at x = 0, y = ∞ and at x = ∞, y = 0 in graph (A).

At  x = 0, y = ∞ and at x = ∞, y = 6 in graph (B).

Thus, the comparison can be seen in the figure very clearly.