Test your basic knowledge |

AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. A variable occurring in a function - but on which the value of the function does not depend






2. Input of function






3. d = v[( x2 - x1)² + (y2 - y1)²]






4. A function that is continuous at every point on the interval






5. (geometry)A curve generated by the intersection of a plane or circular cone






6. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






7. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






8. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






9. A measure of how a function changes as its input changes.






10. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






11. A logarithm with the base e - written as ln






12. A given value of x and f(x) used to find the constant of integration






13. Imaginary line drawn perpendicular to the surface of a mirror or any surface






14. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






15. An undetermined constant added to every result of integration (the added +c)






16. If there is some number B that is greater than or equal to every number in the range of f






17. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






18. A function f that gives the position f(t) of a body on a coordinate axis at time t






19. The limit of f as x approaches c from the right






20. A point that represents the maximum value a function assumes over its domain






21. Selection of a best element from some set of available alternatives.






22. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






23. Dividing an interval into n sub-intervals






24. The local and global maximums and minimums of a function






25. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






26. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






27. ex) dx - dy etc






28. Intervals in which the second derivative is positive






29. A function that is continuous on both the left and right side at that point






30. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






31. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






32. A function that can be graphed w/ a line or smooth curve






33. Ratio between the length of an arc and its radius






34. Functions of angles






35. The maximum distance that the particles of a wave's medium vibrate from their rest position






36. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






37. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






38. The reciprocal of the sine function






39. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






40. A²=(b²+c²)-2(ab)Cos(A)






41. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






42. Graph is symmetrical with respect to the origin; f(-x)=-f(x)






43. A limit in which f(x) increases or decreases without bound - as x approaches c






44. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.






45. Intervals on which the second derivative is negative






46. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the left most point of the sub-interval






47. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


48. The value that a function is approaching as x approaches a given value through values less than x






49. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the right-most point of the sub-interval






50. A function that is a fixed numerical value for all elements of the domain of the function