Question

Show the graph of this function ( picture)

Answer 1

We are asked to show the graph of the function.

`f(x)=(4x^3+6)/(2+x)`

clearly from the representation of the function we could see that the function has asymptote at x=-2 since the denominator is zero at that point i.e. the function is not defined at that point.

Also when x→ ∞, the graph of the function f(x)→ ∞

and when x→ -∞, the graph of the function f(x)→ ∞

Hence, the function f(x) is not bounded on the real line.

The graph is attached to the answer.