(c)

(d)

`h(x) = −5x^3 + 3 x^2 −4π + 8`

SOLUTION:.

`k(x) = π − 0.001x`

SOLUTION:.

It’s easy to write rules for the behavior of a polynomial as x becomes infinite!

###### B. ASYMPTOTES

`Horizontal asymptote`

The line y = b is a horizontal asymptote of the graph of y = f (x) if

The graph of (Figure N2–4) has the x-axis (y = 0) as the horizontal

asymptote.

So does the graph of (Figure N2–5).

The graph of (Figure N2-6), has the line y = 1 as the horizontal

asymptote.

Note, unlike vertical asymptotes, horizontal asymptotes can be crossed. The

graph of has a horizontal asymptote at y = 3, as shown to the

right.

`Vertical asymptote`