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Math Exam 3 - Math 143 - November 19, 2003, Exams of Algebra

Idaho State University (ISU)Algebra

The math 143 exam held on november 19, 2003. The exam covers topics from sections 4.7, 5.1 to 5.6. It includes questions on graphing functions, simplifying logarithmic expressions, finding intercepts and asymptotes, and solving logarithmic equations. Students are required to show all work and simplify all answers.

Typology: Exams

Pre 2010

Uploaded on 09/02/2009

koofers-user-27k
koofers-user-27k 🇺🇸

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Exam 3 Name
Math 143 November 19, 2003
This exam covers §4.7, §5.1-5.6.
Show all work and simplify all answers. If you use your calculator to arrive at a conclusion,
state what you did on your calculator. Give exact numerical answers unless you are instructed to
make an decimal approximation.
1. [12 points] Graph the function y=3x−2
x−1.Specify the intercepts and asymptotes.
2. [12 points] Graph the function y= 1 −2x−1.Specify the domain, range, intercepts, and
asymptotes.
1
pf3
pf4

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Exam 3Math 143 Name November 19, 2003

This exam covers Show all work and simplify all answers. §4.7, §5.1-5.6. If you use your calculator to arrive at a conclusion, state what you did on your calculator. Give exact numerical answers unless you are instructed tomake an decimal approximation.

  1. [12 points] Graph the function y =^3 xx −− 12. Specify the intercepts and asymptotes.
  2. [12 points] Graph the functionasymptotes. y = 1 − 2 x−^1. Specify the domain, range, intercepts, and
  1. [9 points] Simplify the following. Work carefully: no partial credit is possible on these.(a) [3 points] log 2 (1/√2)

(b) [3 points] 2log^2 (3x+1) (c) [3 points] log 2 6 − log 2 3

  1. [12 points] Let (a) What is the domain of f (x) = ln(x − f 2)?.

(b) What is the range of f? (c) Find the inverse of f.

  1. [4 points] Give a decimal approximation to log 2 15.
  2. [8 points] Express as a single logarithm with a coefficient of one:3 ln x + 1 2 ln(x^2 −^ 1)
  1. [5 points] Solve the inequality ln(2x) < 1.
  2. [7 points] Solve the inequality (.3)x^ − 1 > 5.
  3. [10 points] Suppose that $6,000 is invested at 5% interest, compounded monthly. How longwill it take for the amount in the account to reach $10,000?

e3-f03.tex