(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