GEMS 100
Review for Test 1

The first test will be given on Monday, March 31 in class. 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.

1: Functions: You should be able to list the four different ways to represent a function and give an example of each.  Given a function, you should be able to give a reasonable domain and range.  You should also be able to determine whether a given rule or relationship is a function.  You should be able to evaluate a function (including piecewise functions) using function notation (e.g., f(3), g(2))

2: Graphs of Functions: You should be able to describe a graph using the words concave up, concave down, increasing, decreasing, x-intercept, y-intercept.  You should be able to use your calculator to graph a given function, using a given viewing window.  You should also be able to use your calculator to determine the x-intercepts of a function or where two functions intersect.

3: Applications of Graphs: When given a graph of a function, you should be able to draw the graph of various function transformations (vertical stretch, horizontal shift, etc.).  Given a graph created using a calculator attached to a motion detector, you should be able to describe the motion of the person walking that would produce such a graph.

4: Displaying Data: Given a graph (histogram, function, scatterplot, xy-line, pie chart), you should be able to answer questions based on the graph.  Given a data set, you should be able to construct a histogram, scatterplot, or xy-line on your calculator.  You should be able to describe the difference between a histogram, a scatterplot, and an xy-line and know what type of data each will display.  Given a scatterplot, you should be able to describe the association (positive, negative, none).  Given a graph, you should be able to describe what type of graph it is (scatterplot, xy-line, histogram, bar graph, etc.).  You should also understand the difference between independent and dependent variables.

5: Describing Data: You should be able to calculate and interpret the descriptive measures of statistics (mean, median, standard deviation, etc.) for a given set of data. You should be able to describe the shape of a data set (symmetric, skewed).  You should also be able to determine which measurement (mean or median) is more useful for describing a particular data set and know how the shape of the distribution affects the mean and median.

7: Linear Functions: You should be able to find the equation of a linear function, given two points, the slope and y-intercept, the input and output from a table, or a graph.  You should be able to determine if data in a table represent a linear function.  You should also be able to determine a linear conversion function for a given input and output.