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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 not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






2. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






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






4. 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






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






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






7. 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






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






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






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






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






12. ex) dx - dy etc






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






14. 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






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






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






17. Intervals on which the second derivative is negative






18. 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






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






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






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






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






23. 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






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






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






26. Input of function






27. 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)






28. The smallest y-value of the function






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






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






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






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






33. The value of the function at a critical point






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






35. Dividing an interval into n sub-intervals






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






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






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






39. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






43. 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)






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






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






46. dy/dx






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






48. 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






49. Having the limits or boundaries established






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