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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. Having the limits or boundaries established






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






3. 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






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






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






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






7. 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






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






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






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






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






12. ex) dx - dy etc






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






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






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






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






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






18. 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






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






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






21. Imaginary line drawn perpendicular to the surface of a mirror or any surface






22. Intervals on which the second derivative is negative






23. The function that is integrated in an integral






24. The process of evaluating an indefinite integral






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






26. N(1-r)^x






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






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






29. Dividing an interval into n sub-intervals






30. The inverse of an eponential function






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






32. dy/dx






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






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






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






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






37. 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






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






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






40. 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






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






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






44. The value of the function at a critical point






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






46. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






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






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






49. 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.






50. 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)