Barrons AP Calculus

(Marvins-Underground-K-12) #1

(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
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