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






2. 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






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






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






5. 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






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






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






8. The reciprocal of the sine function






9. 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.






10. Having the limits or boundaries established






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






12. 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)






13. A=(b+c)-2(ab)Cos(A)






14. The smallest y-value of the function






15. Intervals in which the second derivative is positive






16. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






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






18. Input of function






19. d = v[( x2 - x1) + (y2 - y1)]






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






21. 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)






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






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






24. Functions of angles






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






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






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






28. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






29. 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






30. The inverse of an eponential function






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






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






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






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






35. The process of evaluating an indefinite integral






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






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






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






39. N(1-r)^x






40. Dividing an interval into n sub-intervals






41. If there is some number b that is less than or equal to every number in the range of f






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






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






44. 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






45. Intervals on which the second derivative is negative






46. 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






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






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






49. 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






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