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






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






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






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






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






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






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






9. The process of evaluating an indefinite integral






10. 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))






11. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






16. 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






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






18. The reciprocal of the sine function






19. 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






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






21. A point that represents the maximum value a function assumes over its domain






22. Having the limits or boundaries established






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






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






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






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






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






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






29. 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






30. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






31. 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)






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






33. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






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






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






36. Input of function






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






38. 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






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






40. The inverse of an eponential function






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






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






43. 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






44. dy/dx






45. The smallest y-value of the function






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






47. Intervals on which the second derivative is negative






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






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






50. Intervals in which the second derivative is positive