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






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






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






4. 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.






5. 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)






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






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






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






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






10. Intervals on which the second derivative is negative






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






12. The value of the function at a critical point






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






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






15. 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






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






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






19. The smallest y-value of the function






20. 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






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






22. 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






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






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






25. ex) dx - dy etc






26. The function that is integrated in an integral






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






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






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






30. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






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






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






37. 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






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






39. 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))






40. 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






41. The process of evaluating an indefinite integral






42. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






43. Intervals in which the second derivative is positive






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






45. Functions of angles






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






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






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






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