College Mathematics MATH 1332

David Katz, instructor

Section by Section List of Test Topics for Exam #1 (Sections 1.3, 1.4, 2.1, 2.2, 2.3, 3.1, and 3.2)

The exam will consist of 30 multiple-choice questions from this list of 60 questions from your homework sections.

Note: the section numbers given below are from Part 1 of your textbook.

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1. (1-3) Represent an x-value and function value f(x) as a point (x,y) and vice versa
2. (1-3) Graph a function by plotting points
3. (1-3) Evaluate a function given an x-value and a function formula
4. (1-3) Evaluate a function given an x-value and a graph of the function
5. (1-3) Know that function-value and y-value are synonymous
6. (1-3) Determine the domain of a polynomial function
7. (1-3) Determine the domain of a square-root function
8. (1-3) Determine the domain of a rational function
9. (1-3) Determine the domain of a function by examining its graph
10. (1-3) Determine the range of a function by examining its graph
11. (1-3) Solve for the x-intercept(s) of a function, if any, by examining its graph (hint: locate where f(x) = 0)
12. (1-3) Translate a written description of a function into a function formula
13. (1-3) Classify a graph as a function or not a function (hint: use vertical-line test)
14. (1-3) Classify a table of values as representing a function or not
15. (1-4) Find the slope of the line passing thru two points (hint: use the slope formula)
16. (1-4) Determine the slope of a linear function f(x) = mx + b
17. (1-4) Interpret the graph of a linear function; be able to approximate slope and intercepts of graph
18. (1-4) and (2-1) Decide whether a table of values represents linear or non-linear data
19. (1-4) Translate a written description of a linear function into the f(x) = mx + b formula
20. (2-1) Examine a graph of a linear function and identify a formula for the function, its intercepts, zero, and slope
21. (2-1) Graph a linear function of the form f(x) = mx + b on paper & pencil
22. (2-1) Given a slope and a y-intercept on the graph of a linear function, write a formula for that function (hint: use slope-intercept formula)
23. (2-1) and (9-B) Given a written description of a linear relationship in an applied problem, write a formula for that linear relationship
24. (2-1) Know how to create a linear regression formula for a table of values (hint: use the STAT button on your TI calculator)
25. (2-2) Given two points on the graph of a line, write an equation for the line (hint: use point-slope formula)
26. (2-2) Given the intercepts of the graph of a line, write an equation for the line
27. (2-2) Given a line parallel to a second line and a point on the first line, write an equation for the first line
28. (2-2) Given a line perpendicular to a second line and a point on the first line, write an equation for the first line
29. (2-2) Know the relationship between parallel lines (hint: slopes are equal; y-intercepts are different)
30. (2-2) Know the relationship between perpendicular lines (hint: the product of perpendicular slopes = -1)
31. (2-2) Know how to simplify a linear equation into slope-intercept form y = mx + b
32. (2-2) Given a point on a vertical line, write an equation for the vertical line
33. (2-2) Given a point on a horizontal line, write an equation for the horizontal line
34. (2-2) Know that the slope for a vertical line is undefined, and the slope for a horizontal line = 0
35. (2-2) Given a table of values, interpolate for a missing y-value
36. (2-2) Given a table of values, extrapolate for a missing y-value
37. (2-2) Given an equation of a line, determine its x-intercept and y-intercept
38. (2-2) Given a graph of table of data values in an applied problem, write a linear equation to represent the problem
39. (2-2) Solve for the constant k of proportionality in a direct variation problem
40. (2-2) Write an equation to represent a problem situation involving direct variation
41. (2-3) Classify an equation as linear or non-linear
42. (2-3) Solve a linear equation symbolically (i.e., isolate x)
43. (2-3) Get an approximate solution for a linear equation by examining a graph (hint: know how to graph equations on the graphing calculator)
44. (2-3) Solve mixture and working together problems
45. (2-3) Solve motion problems (hint: make a table using D = RT)
46. (2-3) Solve problems with proportions between similar triangles
47. (3-1) Classify a function as linear, quadratic, or neither
48. (3-1) Identify the leading coefficient of a quadratic function
49. (3-1) Determine the coordinates of the vertex and the equation for the axis of symmetry given the graph of a quadratic function
50. (3-1) Determine whether a quadratic function's graph opens up or down, based on the leading coefficient
51. (3-1) Given a quadratic function, use the vertex formula for find the coordinates of the vertex
52. (3-1) Use the vertex formula and the leading coefficient of a quadratic function to draw a quick sketch of that function
53. (3-1) Solve for a maximum or minimum value using the vertex formula in an applied problem
54. (3-1) Know how to create a quadratic regression model for a table of values (hint: use the STAT button on your TI calculator)
55. (3-2) Solve a quadratic equation by square-root method
56. (3-2) Solve a quadratic equation by factoring
57. (3-2) Solve a quadratic equation by the quadratic formula
58. (3-2) Identify the best method to solve a quadratic equation: square-root method, factoring, or quadratic formula
59. (3-2) Locate the x-intercept(s), if any, and y-intercept of a quadratic equation's graph
60. (3-2) In an applied problem on quadratic equations, identify the value when the given quantity is zero (hint: solve for an x-intercept)

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