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






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






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






7. 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






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






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






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






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






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






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






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






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






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






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






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






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






20. d = v[( x2 - x1)² + (y2 - y1)²]






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






22. 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))






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






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






25. Dividing an interval into n sub-intervals






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






27. Intervals in which the second derivative is positive






28. 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)






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






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






31. 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






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






33. 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






34. Input of function






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






36. ex) dx - dy etc






37. The inverse of an eponential function






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






39. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






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






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






42. 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






43. The function that is integrated in an integral






44. The reciprocal of the sine function






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






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






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






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






49. 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






50. 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