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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. Intervals in which the second derivative is positive






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






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






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






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






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






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






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






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






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






11. The value of the function at a critical point






12. 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






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






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






15. The function that is integrated in an integral






16. A straight line that is the limiting value of a curve






17. 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.






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






19. dy/dx






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






21. 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






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






23. 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






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






25. 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)






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






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






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






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






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






31. 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






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






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






34. 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






35. 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






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






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






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






39. The inverse of an eponential function






40. The reciprocal of the sine function






41. 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






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






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






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






45. Input of function






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






47. 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)






48. 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))






49. 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)






50. Graph is symmetrical with respect to the origin; f(-x)=-f(x)