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






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






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






4. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






9. ex) dx - dy etc






10. Input of function






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






12. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






13. 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))






14. 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.






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






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






17. 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






18. 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






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






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






21. Having the limits or boundaries established






22. The value of the function at a critical point






23. 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






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






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






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






27. Functions of angles






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






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






30. 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)






31. 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)






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






33. N(1-r)^x






34. 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)






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






36. A²=(b²+c²)-2(ab)Cos(A)






37. Intervals on which the second derivative is negative






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






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






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






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






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






43. The process of evaluating an indefinite 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. Dividing an interval into n sub-intervals






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






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






48. 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)






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






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