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






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






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






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






5. 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)






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






7. Functions of angles






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






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






10. N(1-r)^x






11. d = v[( x2 - x1)² + (y2 - y1)²]






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






13. The process of evaluating an indefinite integral






14. 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






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






16. 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))






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






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






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






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






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






22. The inverse of an eponential function






23. Intervals in which the second derivative is positive






24. ex) dx - dy etc






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






26. 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






27. The smallest y-value of the function






28. dy/dx






29. Having the limits or boundaries established






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






31. 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






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






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






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






35. 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






36. 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






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






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






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






40. A²=(b²+c²)-2(ab)Cos(A)






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






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






43. 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






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






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






46. Dividing an interval into n sub-intervals






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






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






49. Intervals on which the second derivative is negative






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