UMUC MATH115 Quiz 2 Latest 2019 September
MATH115 Pre-Calculus
Quiz 2
Instructions:
The quiz is worth 30 points. There are 6 problems. This quiz is open book and
open notes. This means that you may refer to your textbook, notes, and online
classroom materials, but you must work independently and may not consult anyone
(and confirm this with your submission).
Show work/explanation where indicated. Answers without any work may earn
little, if any, credit.
1. Find all solutions (both real and
complex) of the following equation:
2. Given points A(12. -7), B(-3, 2)
& C(3, -1). Find the equation of the
line through C that is parallel to line AB.
Also find the equation of the line through C that is perpendicular to line
AB. Express your answers in slope-intercept form.?
3. The height, in feet, above the
ground of a ball thrown upward is given by
, where t is time in seconds.
How high does the ball get before it falls back to the ground? When does it strike the ground?
4. Solve using both a sign chart and a graph. Express your answer in interval notation.
5. A fifth degree polynomial function
f(x) has a negative leading coefficient with zeros -3, 2 and 5 of multiplicity
one and a zero at 0 of multiplicity two.
Make a rough sketch of the graph of this function.
6. The value of a certain model of car
depreciates linearly. If the value of
the car is $25000 new and $17500 after five years, find the function f(t), t in
years after purchase, that expresses the value of this car. When will the car have a value of $13000?
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