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Math 107
Quiz 4 Page 4
Please remember to show ALL of your work on every problem.
If there is no work to show, then include a sentence or two
explaining your answer.
Here are the basic rules of showing work:
a) Each step should show the complete expression or equation
rather than a piece of it.
b) Each new step should follow logically from the previous
step, following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or
expressions.
1) Solve:
2)
Solve
3) Find the zeros of the following polynomial function and state
the multiplicity of each.
()2 ()()4
4) Use substitution to determine whether 1, -3 and -2 are zeros
of the following polynomial function
5) Using the intermediate value theorem, determine, if possible,
whether the following function f(x) has at least one real zero
between a and b.
a = 1, and b = 2
6) Determine the vertical asymptotes of the graph of the
function
7) Determine the horizontal asymptote of the graph of the
function
8) Determine the Oblique asymptote of the graph of the function
9) Solve the following and state your answer in interval
notation.
10) Solve the following and state your answer in interval
notation.
21
7
3
x
+
>
2
()
fxx
=
3
x
+
5
x
-
2
x
+
432
()352
fxxxxx
=--+-
5
()271
fxxx
=-+
2
4
()
(5)(2)
x
fx
xxx
-
=
+-
2
2
845
()
1610
xx
fx
x
-+
=
-
3
2
12
()
64
xx
fx
x
-
=
+
32
440
xxx
+--³
2
4759
xxx
++³+
9|2|5
x
--=

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