Part 2
 Test 3
 Time: 3 hours

 Find a rational function with vertical asymptotes at
and a horizontal asymptote at y=3.
Answer:
c)
.
 Find the slant asymptote to .
Answer:
d) f(x)=x+2.
 Find the equation of a polynomial with zeros x=3 and
x=3+2i.
Answer:
c)
.
 Find all the real zeros of the polynomial
. What is the largest rational zero?
Answer:
a) 1.
 Divide by . What is the
quotient?
Answer:
a) 3x2.
 Multiple and write the result in standard form: (108i)(23i).
Answer:
c) 446i.
 The path of a ball is given by
where y is the height in feet and x is the horizontal distance in
feet. Find the maximum height of the ball.
Answer:
b) 50 feet.
 Find the exact vertex of the parabola .
Answer:
d)
.
 Find the constant in the equation of the parabola with vertex
(3,4) with point (1,8).
Answer:
a) 13.
 What is the difference between the graphs of f(x) and
Answer:
a) The graph of g(x) is the graph of f(x) shifted to the
right 4 units, and up 3 units.
 What is the remainder when you divide by x4 using synthetic division?
Answer:
b) 3.
 Find the upper bound of the zeros of
using synthetic division.
Answer:
d) 5.
 Simplify and write in standard form a+bi:
. Find the value of a.
Answer:
a)
.
 How many real solutions does
have?
Answer:
a) 1.
 Find the domain of the function
.
Answer:
c) All real numbers except .
 Find the horizontal asymptote of the function
.
Answer:
b) y=3.
 Find the vertical asymptote to the right of the xaxis of the
function .
Answer:
c) x=1.
 Without using a calculator, approximate the value of
at x=10,000,000,000.
Answer:
d) 3
 Let x be the amount (in hundredths of dollars) a company
spends on advertising, and let P be the profit, where
. How much advertising will yield a
maximum profit?
Answer:
b) $ 2,000.
 Given , find .
Answer:
b)
.
 Is a circle a function?
Answer:
a) No.
 Is a parabola a onetoone function?
Answer:
a) No.
 The formula represents the volume
of a cone. Find x in terms of the other variables.
Answer:
c)
.
 Factor . What is the sum of the factors?
Answer:
c)
.
 On what interval(s) is the function decreasing?
Answer:
d)
.
If you would like to practice on test out exams for Parts 1, 3 or 4, click on
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Fri Oct 10 12:36:23 MDT 1997
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