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






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






3. 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






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






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






6. 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






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






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






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






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






11. 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






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






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






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






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






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






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






18. dy/dx






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






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






21. Amount of change / time it takes (amount of change/ length of interval)






22. The function that is integrated in an integral






23. Dividing an interval into n sub-intervals






24. 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.






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






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






27. 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 left most point of the sub-interval






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






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






30. 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






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






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






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






34. 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)






35. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






36. Functions of angles






37. ex) dx - dy etc






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






39. 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)






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






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






42. 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.


43. 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)






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






45. The value of the function at a critical point






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






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






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






49. N(1-r)^x






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