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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. The reciprocal of the sine function






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






3. 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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4. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






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






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






7. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






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






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






10. 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






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






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






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






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






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






16. A²=(b²+c²)-2(ab)Cos(A)






17. 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)






18. 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






19. Functions of angles






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






21. The smallest y-value of the function






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






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






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






25. 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






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






27. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






31. The value of the function at a critical point






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






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






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






35. 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






36. Having the limits or boundaries established






37. 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))






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






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






40. Dividing an interval into n sub-intervals






41. ex) dx - dy etc






42. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






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






44. The inverse of an eponential function






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






46. 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 right-most point of the sub-interval






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






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






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






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