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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 method of representing the location of a point using an ordered pair of real numbers of the form (x -y)






2. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






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






4. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






5. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






6. If there is some number b that is less than or equal to every number in the range of f






7. The smallest y-value of the function






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






9. The distance a number is from 0 on a number line






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






11. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






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






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






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






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






16. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






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






18. 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






19. A function whose domain is divided into several parts and a different function rule is applied to each part






20. Curve whose points are at a fixed normal distance of a given curve






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






22. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






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






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






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






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






27. N(1-r)^x






28. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






29. Intervals in which the second derivative is positive






30. 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)






31. The behavior of the graph of a function as x approaches positive infinity or negative infinity






32. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






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






34. The value of the function at a critical point






35. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






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






37. d = v[( x2 - x1)² + (y2 - y1)²]






38. A variable occurring in a function - but on which the value of the function does not depend






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






40. Intervals on which the second derivative is negative






41. The mathematical process of obtaining the derivative of a function






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






43. Having the limits or boundaries established






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






45. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






46. A surface or shape exposed by making a straight cut through something at right angles to the axis.






47. ex) dx - dy etc






48. 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






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






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