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Precalculus Final Exam, June 2006 - Prof. William W. Miles, Exams of Pre-Calculus

The final exam questions for a precalculus course, covering topics such as lines, equations, slope, regression, absolute values, functions, calculus, and projectiles.

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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MS 101: Precalculus
Final Exam
June 29, 2006
Give your best answers to the following questions. Be sure to show your work in order to receive
partial credit. In general, a correct answer without accompanying work will receive no credit. Do
your own work!
On my honor, I have neither given nor received illicit information during this examination.
Signature
Printed Name
pf3
pf4
pf5
pf8
pf9

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MS 101: Precalculus

Final Exam

June 29, 2006

Give your best answers to the following questions. Be sure to show your work in order to receive partial credit. In general, a correct answer without accompanying work will receive no credit. Do your own work!

On my honor, I have neither given nor received illicit information during this examination.

Signature

Printed Name

  1. Find the equation of the line through (− 2 , 4) and (3, 15).
  2. What is the slope of a line perpendicular to y = 72 x − 4?
  3. Solve

a. 5 [3 + 2(x − 6)] = 3x + 1

b. 4 x − 1 3

x 5

b. | 2 x + 5| ≥ 7

  1. Given

x f (x) g(x) -2 1 X 0 4 X 1 X 2 2 3 4 3 X - 4 2 0

a. (g ◦ f )(−2)

b. (f ◦ g)(3)

  1. Find the vertex of f (x) = 2x^2 − 6 x − 8
  1. A projectile is fired vertically upward and its height (in feet) after t seconds is given by

h(t) = − 16 t^2 + 800t + 600.

a. From what height was the object fired?

b. When will the object hit the ground?

  1. Solve

a. 2^3 x+1^ = 3^4 −x

b. log 3 (x + 6) − log 3 (x + 2) = log 3 x

  1. The table shows the amount of polonium 210 remaining after x days from an initial sample of 2 milligrams.

x 0 100 200 300 y 2 1.22 .743.

Find an exponential function which models this data.