Now examine the signs of the values of f(x) for
By the way has no vertical asymptote so the given graph looks quite different to h.
to (B): Use long division to re-write the equation of the function:
Now examine the sign of the remainder:
If x < -3 then the numerator of the remainder is positiv and the denominator is negative. That means you subtract a fraction from -4 so that the graph runs below the asymptote.
If x > 4.85 the remainder is positive so that the graph runs above the asymptote. The peak is at P(9, -3.75). The given drawing is definitely wrong.