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






2. Two curves that have perpendicular tangents at the point of tangency






3. 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






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






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






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






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






8. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






9. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






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






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






12. ex) dx - dy etc






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






14. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)






15. A line that divides a figure in half so that each half is the mirror image of the other.






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






17. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






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






19. Intervals on which the second derivative is negative






20. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






21. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






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






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






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






25. The value of the function at a critical point






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






27. The value of the function approaches as x increases or decreases without bound






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






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






30. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






31. The process of evaluating an indefinite integral






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






33. The reciprocal of the sine function






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






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






36. dy/dx






37. A straight line that is the limiting value of a curve






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






39. Functions of angles






40. 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.

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






42. A point where a function changes concavity; also - where the second derivative changes signs






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






44. Having the limits or boundaries established






45. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






46. The smallest y-value of the function






47. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






48. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






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






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







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