College Algebra MATH 1314 and MATH 1414

David Katz, instructor

Section by Section List of Test Topics for Exam #1 (Chapter 2) from College Algebra by Robert Blitzer (4th edition)

The exam will consist of 10 multiple-choice questions from this list of topics from your homework sections.

Note: you will be required to know by memory the formulas of this unit except for the difference quotient formula, which will be given to you when you take the exam.

  1. (2.1) Evaluate a function with numeral input or variable input
  2. (2.1) Graph a function by plotting points
  3. (2.1) Graph a function with a graphing calculator
  4. (2.1) Identify the domain and range of a function from its graph
  5. (2.1) Identify x and y-intercepts from a function’s graph
  6. (2.2) Simplify a difference quotient as on p.203
  7. (2.2) Evaluate a piece-wise function
  8. (2.2) Identify intervals on which a function is increasing, decreasing, or constant
  9. (2.2) Locate relative maxima or minima on a function’s graph
  10. (2.2) Classify functions as having odd symmetry, even symmetry, or neither by examining their graphs
  11. (2.2) Use the formulas f(x) = f(-x) and f(x) = -f(-x) to classify functions as odd, even, or neither
  12. (2.5) Recognize graphs of common functions as on p.242
  13. (2.5) Apply vertical shifts to a function and its graph
  14. (2.5) Apply horizontal shifts to a function and its graph
  15. (2.5) Apply reflections about the x and y-axes to a function and its graph
  16. (2.5) Graph functions involving a series of transformations
  17. (2.5) Know to apply reflections before shifts in a series of transformations
  18. (2.6) Find the domain of a rational function
  19. (2.6) Find the domain of a square-root function
  20. (2.6) Determine the composite of two functions
  21. (2.6) Find the domain of a composite function as shown on p.265
  22. (2.7) Verify that two functions f and g are inverses of each other by showing f(g(x)) = x and g(f(x)) = x
  23. (2.7) Compute the inverse of a function
  24. (2.7) Know that the domain of f(x) is the range of f-1(x) and vice versa
  25. (2.7) Know that one-to-one functions are functions whose inverses are also functions (as opposed to relations)
  26. (2.7) Know that a function’s graph and the graph of its inverse are reflections about the line y = x

 

Return to College Algebra Main Page