Part 2
| Test 7
| Time: 1 hour
|
- A ball that is thrown upward follows the path
, where h(t) represents the height of the
ball above the ground at time t, and t represents the time since
the ball was thrown. How high above the ground did the ball reach?
Answer: The maximum height that the ball reached was 17 units.
- Find a
degree polynomial with real coefficients that
has zeros 0, -3i, and 2-i.
Answer:
.
- Divide
.
Answer:
-
- a)
- List the set of possible rational zeros for
Answer:
.
- b)
- Factor
completely.
Answer: (x-2i)(x+2i)(x-1)(x-4).
-
- a)
- Find the equations of all vertical, horizontal, or slant
asymptotes of the graph of
Answer: The equations of the vertical asymptotes are x=1, and
x=-1. There are no horizontal asymptotes. The equation of the
slant asymptote is y=3x.
- b)
- Explain how you used the graph of f(x) to verify your findings.
Answer: By looking at the graph of f(x), the values of f(1),
and f(-1) are undefined. The graph gets closer and closer to the
lines x=1, and x=-1 but it never crosses it.
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Wed Oct 8 15:12:26 MDT 1997
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