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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. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






2. dy/dx






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






4. The inverse of an eponential function






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






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






7. Having the limits or boundaries established






8. 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)






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






10. ex) dx - dy etc






11. Dividing an interval into n sub-intervals






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






13. 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)






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






15. The function that is integrated in an integral






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






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






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






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






20. 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






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






22. The mathematical process of obtaining the derivative of a function






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






24. The smallest y-value of the function






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






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






27. 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






28. 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






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






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






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






32. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






35. 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






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






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






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






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






40. 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






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






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






43. Functions of angles






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






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






46. 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)






47. 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






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






49. 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))






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