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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 that is continuous on both the left and right side at that point






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






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






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






5. Intervals on which the second derivative is negative






6. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






7. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






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






13. 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






14. 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






15. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






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






17. 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))






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






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






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






21. 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)






22. The inverse of an eponential function






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






24. dy/dx






25. ex) dx - dy etc






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






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






28. The value of the function at a critical point






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






30. Intervals in which the second derivative is positive






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






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






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






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






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






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






38. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






39. 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)






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






41. The function that is integrated in an integral






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






43. The limit of f as x approaches c from the right






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






45. 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)






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






47. Dividing an interval into n sub-intervals






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






49. The reciprocal of the sine function






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







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