GEMS 100
Review for Test 2

The second test will be given on Tuesday, April 29 at 2:00 pm.  It will cover the following material. Don't forget to bring a calculator and one page of your own notes to use during the test.

Note:  The old test 2 that is available online contains questions from one section (Section 14) that is not covered on our test.  Therefore, you can ignore questions 5 and 14 from that test.

8: Regression and Correlation: Given a data set, you should know how to determine a linear regression equation and the correlation using your calculator.  You should know what regression equation is doing geometrically.  You should also know what the slope and y-intercept mean in terms of the variables in the problem.  You should also know what correlation is measuring and be able to estimate it from a scatterplot.

9: Exponential Functions: You should know what an exponential function is, its properties, and its standard formula.  Given an exponential function verbally or numerically, you should be able to determine its formula.  You should know what growth factors and growth rates are and how they are related.  You also should know how growth factors determine whether the function is increasing or decreasing.

Star Figures Exploration:  You should know how star figures are described (namely the notation {n/k}).  You should know the difference between a star figure and a star polygon and what relationship between n and k is needed to have a star polygon.  You should know how to determine the number of paths and the length of the paths in a star figure.  You should be able to determine what star figures are contained inside of other star figures.  You should also be able to determine how many regions are contained in a star figure.

10: Logarithmic Functions: You should know what magnitudes are and how logarithmic functions help you determine the magnitude of a number. You should know the properties of logarithmic functions and in particular know the properties for adding logarithms and multiplying a logarithm by a constant.

11: Periodic Functions: You should know what a periodic function is and be able to determine (from a graph) if something is a periodic function. You should be able to graph a simple periodic function given a situation like a clock hand or a swing. You should know what the sine and cosine functions are and how their graphs are developed.  You should know what period and amplitude are.

12: Power Functions: You should know what power functions are and their properties.  In particular know how they differ when the exponent is odd versus even.  When the exponent is rational know how they differ depending on whether or not the numerator or denominator is odd or even.  Given numerical data, you should be able to determine if it represents a power function and if it does, find its formula.