Show all work for credit. Do all your work neatly on the paper provided. Write your name on each sheet you turn in. I will not grade any work done on the test sheet. When you are finished turn in all sheets including the test. Good Luck.

1. Sketch the graph of f(x) = x²-8x+16. Identify the vertex and intercepts.

2. Find the quadratic function whose graph has vertex (4,-1) and passes through the point (2,3).

3. Sketch the graph of y = (x²-1)(x²-4). Identify all x-intercepts.

4. Find all real zeros of f(x) = x⁴-x³-20x².

5. Evaluate the following expressions. Problems with a (*) should have exact solutions.

   1. 625^3/₄      (*)

   2. log₇15

   3. log([1/ 1000])      (*)

   4. log₁₅(15¹⁶⁷)       (*)

6. Sketch the graph of y = 2^x-3+1.

7. What will the balance be after 10 years if you invest $10,000 at an annual interest rate of 8% compounded monthly?

8. Find domain, vertical asymptote, x-intercept, and sketch the graph of h(x) = log₄(x-3)

9. Solve the following equations algebraically.

   1. 2^x/₃ = [1/ 16]

   2. log(x)+log(2-x) = 0

   3. e^x+2 = 15

   4. ln(x)+ln(x-3) = 1

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