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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. Dividing an interval into n sub-intervals






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






3. 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)






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






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






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






7. 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))






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






9. 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






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






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






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






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






14. 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.


15. 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






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






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






18. Intervals in which the second derivative is positive






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






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






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






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






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






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






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






26. dy/dx






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






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






29. 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.






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






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






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






33. ex) dx - dy etc






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






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






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






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






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






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






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






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






42. The smallest y-value of the function






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






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






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






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






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






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






49. Functions of angles






50. 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