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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. 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






2. 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






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






4. 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






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






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






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






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






9. The inverse of an eponential function






10. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






11. 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






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






13. 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.






14. Any value in the domain where either the function is not differentiable or its derivative is 0.






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






16. 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)






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






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






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






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






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






22. 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)






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






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






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






26. 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






27. The value of the function at a critical point






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






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






30. Dividing an interval into n sub-intervals






31. dy/dx






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






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






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






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






36. The reciprocal of the sine function






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






38. 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






39. Intervals in which the second derivative is positive






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






41. Functions of angles






42. The process of evaluating an indefinite integral






43. The smallest y-value of the function






44. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






47. Having the limits or boundaries established






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






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






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