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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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 whose domain is divided into several parts and a different function rule is applied to each part






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






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






4. The value of the function at a critical point






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






6. 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






7. Having the limits or boundaries established






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






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






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






11. Dividing an interval into n sub-intervals






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






13. Intervals on which the second derivative is negative






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






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






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






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






18. 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






19. 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)






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






21. 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)






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






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






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






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






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






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






29. 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






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






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






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






33. 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






34. 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)






35. The process of evaluating an indefinite integral






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






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






38. The function that is integrated in an integral






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






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






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






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






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






44. N(1-r)^x






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






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






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






48. The reciprocal of the sine function






49. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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50. Input of function