**GEMS 100 - Vance**

**Review for Test 1, Fall 2007**

Test 1 will be over chapters 1-8, with slightly more emphasis on chapter 6. Remember:

· Use a pencil (with an eraser)

· I will give partial credit if you show me any correct work

· Bring your own calculator (no sharing!)

· You may have a 3x5 note card with you

The first 30 points of the test will be short answer/multiple choice, similar to the first page of the quizzes. The remaining 70 points will be problem solving. Many of these will be similar to the in-class activities.

When studying for a math test, remember to re-work problems –**don’t just look them over**! I recommend re-working a variety of problems from the reading questions, in-class activities, and quizzes. Pay close attention to the following topics:

## Chapter 1: Functions

· Find the domain and range of a function

· Given a modeling function, give a reasonable domain and range.

· Determine whether a given rule/relationship is a function.

· Evaluate a function (including piecewise functions) given that it is represented with a graph, numerically, verbally, or with function notation (e.g., f(3)).

· Be able to evaluate a function given verbally, as in activity #2 and #7.

## Chapter 2: Graphs of Functions

· Describe a graph of a function using the words *concave up, concave down, increasing, decreasing, x-intercept, y-intercept.*

· Use your calculator to graph a given function, using a given viewing window.

· Use your calculator to determine the x and y-intercepts of a function or where two functions intersect.

· Be able to interpret your graph in the context of the problem, as in activity #11.

## Chapter 3: Applications of Functions

· Determine function transformations (vertical stretch, horizontal shift, etc.)

· Given a graph created using a calculator attached to a motion detector, describe the motion of the person walking that would produce such a graph (and visa versa).

### Chapter 4: Displaying Data

· Given a graph (histogram, scatterplot, xy-line), answer questions based on the graph.

· Given a data set, construct a histogram/scatterplot/xy-line on your calculator.

· Describe the difference between a histogram, scatterplot, and a xy-line. What type of data will each display?

· Understand the difference between independent and dependent variables.

## Chapter 5: Describing Data

· Calculate and interpret the descriptive statistics (mean, median, standard deviation, IQR, etc) for a given set of data.

· Determine which measurement (mean or median) is more useful for describing a particular data set.

· Describe the shape of a data set (symmetric, skewed).

· Know how the shape of the distribution affects the mean and median

## Chapter 6: Multivariable Functions

· Given the multivariable function evaluate the function (such as finding payment)

· Describe the terrain of a given contour map.

· Draw the isotherm for a given temperature.

## Chapter 7: Linear Functions

· Find the equation of a linear function given two points, the slope and intercept, input/output table, or a graph.

· Evaluate a linear function at a particular point.

· Determine a linear conversion function for a given input and output, and use it to convert from one unit to another.

· Be able to do use linear conversions in problem situations, such as activity #4

Chapter 8: Regression and Correlation

· Given a data set, know how to determine a linear regression equation and the correlation using your calculator.

· Know what the slope and y-intercept mean in the context of the problem

· Know what the correlation r is measuring (e.g., strong negative association) and be able to estimate it from a scatterplot.