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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 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






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






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






4. Input of function






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






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






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






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






9. Dividing an interval into n sub-intervals






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






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






13. The reciprocal of the sine function






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






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






16. Intervals in which the second derivative is positive






17. 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






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






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






20. The smallest y-value of the function






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






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






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






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






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






26. 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






27. Functions of angles






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






29. 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)






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






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






32. The inverse of an eponential function






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






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






35. 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))






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






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






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






39. ex) dx - dy etc






40. d = v[( x2 - x1)² + (y2 - y1)²]






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






42. 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






43. The function that is integrated in an integral






44. The process of evaluating an indefinite integral






45. The value of the function at a critical point






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






47. 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






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






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






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