Math 127 College Algebra, Fall 2006 NAME:____________


6 problems, 10 points each


1. Show enough work to justify your answers.

2. Don't leave early unless you are sure you've solved all the problems.

  1. (a) Algebraically, show that the function $f(x)=x^{2}$ is not one-to-one. (b) Graphically, show that the function $g(x)=2^{x+1}$ is one-to-one. (c) Find the inverse of $g(x).$

  2. Express as a single logarithm MATH.

  3. Suppose $1000 is deposited in the account with interest 5% compounded annually. How long will it take to triple the money?

  4. Solve the equation MATH

  5. Set up, do not solve, the system of linear equations for the following problem. "One serving of tomato soup contains 100 Cal and 18 g of carbohydrates. One slice of whole bread contains 70 Cal and 13 g of carbohydrates. How many servings of each should be required to obtain 230 Cal and 42 g of carbohydrates?"

  6. Solve the following system of linear equations: MATH.

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