Business Math MATH 1324

North Lake College

David Katz, instructor

Section by Section List of Test Topics For Exam #5 (Chapter 10)

The exam will consist of 13 free response questions from this list of 32 topics from your homework sections.

1. (10-1) Find the x-intercept(s), if any, for a quadratic equation by factoring or by the quadratic formula

2. (10-1) Solve a quadratic equation by factoring or by the quadratic formula

3. (10-1) Find the y-intercept for a quadratic equation

4. (10-1) Find the vertex of a quadratic function - remember: x-coordinate = -b/(2a)

5. (10-1) Decide if a quadratic function has a graph that opens up or down by examining the leading coefficient a

6. (10-1) Decide if a quadratic function has a minimum or maximum value

7. (10-1) Use the vertex of quadratic function to find the minimum or maximum value of a quadratic function

8. (10-1) Draw a graph of a quadratic function and label the x-intercept(s), y-intercepts, and vertex

9. (10-1) Given some data points or table of data, create a linear demand or price function (hint: use methods of chapter 1)

10. (10-1) Create a revenue function (hint: recall that revenue = price x quantity)

11. (10-1) Create a profit function (hint: recall that profit = revenue - cost)

12. (10-1) Compute the maximum profit or maximum revenue from a profit or revenue function

13. (10-2) Identify whether an exponential function of base b is increasing (b > 0) or decreasing (0 < b < 1)

14. (10-2) Know that the base b of an exponential function is always > 0 and ≠ 1

15. (10-2) Draw a graph of an exponential function and label the horizontal asymptote and the y-intercept

16. (10-2) Given two or more points, or a table of values, create an exponential function of the form f(x) = Ab^x

17. (10-2) Use the exponential function A(x) = Pe^rt to compute continuous compounding

18. (10-2) Recall that the annual interest rate (APR) or r is negative in depreciation problems; positive in inflation problems

19. (10-2) Review how to use the compound interest formula (p.278)

20. (10-2) Review the properties of exponents, i.e., when to add, subtract, or multiply exponents (p.578)

21. (10-2) Use an exponential function of base b to compute decay (b > 0) or growth (0 < b < 1)

22. (10-3) Identify whether a logarithm function of base b is increasing (b > 0) or decreasing (b < 0)

23. (10-3) Know that the base b of a logarithm function is always > 0 and ≠ 1

24. (10-3) Draw a graph of a logarithm function and label the vertical asymptote and the x-intercept

25. (10-3) Know that the domain (aka argument) of a logarithm function is always > 0

26. (10-3) Use the definition of logarithms to re-write a logarithm equation as an exponential equation and vice versa

27. (10-3) Understand that a logarithm and exponential function of the same base are inverses or opposites - they cancel each other out

28. (10-3) Use the change of base formula to calculate the value of a logarithm when the base ≠ 10 or e.

29. (10-3) Use the exponent property of logarithms to move an exponent in front of a logarithm and vice versa

30. (10-3) Solve the exponential equation y = Ab^kt for k or t by taking the logarithm of both sides of the equation

31. (10-3) Solve the continuous compounding formula y = Pe^rt for r or t by taking the logarithm of both sides of the equation

32. (10-3) Solve the compound interest formula for t by using logarithms

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