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






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






3. A²=(b²+c²)-2(ab)Cos(A)






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






5. The reciprocal of the sine function






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






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






8. Dividing an interval into n sub-intervals






9. Having the limits or boundaries established






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






11. 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






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






13. 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)






14. A function that is continuous at every point on the interval






15. 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))






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






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






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






19. Intervals in which the second derivative is positive






20. 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)






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






22. 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






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






24. The inverse of an eponential function






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






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






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






28. The process of evaluating an indefinite integral






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






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






31. dy/dx






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






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






34. 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






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






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






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






38. Input of function






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






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






41. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






43. The function that is integrated in an integral






44. 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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45. 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






46. 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






47. 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)






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






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






50. 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)







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