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






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






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






4. 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






5. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






9. Intervals on which the second derivative is negative






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






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






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






13. 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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14. 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)






15. 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






16. 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)






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






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






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






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






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






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






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






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






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






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






27. 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)






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






29. 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






30. 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)






31. Either of the endpoints of an interval over which a definite integral is to be evaluated






32. Functions of angles






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






34. 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






35. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






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






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






38. 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






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






40. The process of evaluating an indefinite integral






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






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






43. ex) dx - dy etc






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






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






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






47. N(1-r)^x






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






49. The smallest y-value of the function






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