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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. The function that is integrated in an integral






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






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






4. 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






5. Dividing an interval into n sub-intervals






6. Intervals in which the second derivative is positive






7. 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.






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






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






10. The smallest y-value of the function






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






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






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






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






15. 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)






16. Either of the endpoints of an interval over which a definite integral is to be evaluated






17. 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






18. 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))






19. 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






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






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






22. 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)






23. Intervals on which the second derivative is negative






24. 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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25. A logarithm with the base e - written as ln






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






27. d = v[( x2 - x1)² + (y2 - y1)²]






28. 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)






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






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






31. sinA/a=sinB/b=sinC/c






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






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






34. A function that possesses a finite integral; the function must be continuous on the interval of integration






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






36. dy/dx






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






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






39. Input of function






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






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






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






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






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






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






46. 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






47. 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






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






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






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