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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 is continuous at every point on the interval






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






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






4. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






8. 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






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






10. 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






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






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






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






14. The smallest y-value of the function






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






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






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






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






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






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






21. The reciprocal of the sine function






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






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






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






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






26. The function that is integrated in an integral






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






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






29. Intervals on which the second derivative is negative






30. d = v[( x2 - x1)² + (y2 - y1)²]






31. 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))






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






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






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






35. N(1-r)^x






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






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






38. ex) dx - dy etc






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






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






41. 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






42. 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






43. 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






44. 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






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






46. The process of evaluating an indefinite integral






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






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






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






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







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