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






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






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






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






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






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






7. The smallest y-value of the function






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






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






10. 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






11. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve






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






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






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






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






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






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






18. N(1-r)^x






19. 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)






20. 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






21. dy/dx






22. The inverse of an eponential function






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






24. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






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






26. 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






27. Dividing an interval into n sub-intervals






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






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






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






31. Intervals in which the second derivative is positive






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






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






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






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






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






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






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






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






41. Functions of angles






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






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






44. 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.






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






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






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






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






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






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