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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. 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)






2. ex) dx - dy etc






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






5. Intervals in which the second derivative is positive






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






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






8. Intervals on which the second derivative is negative






9. Input of function






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






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






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






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






14. The process of evaluating an indefinite integral






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






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






17. 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






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






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






20. N(1-r)^x






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






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






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






24. 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






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






26. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






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






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






30. 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






31. 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






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






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






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






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






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






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






38. 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






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






40. sinA/a=sinB/b=sinC/c






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






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






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






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






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






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






47. 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.






48. d = v[( x2 - x1)² + (y2 - y1)²]






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






50. A²=(b²+c²)-2(ab)Cos(A)