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






2. 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






3. 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)






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






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






6. 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






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






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






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






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






12. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






16. The reciprocal of the sine function






17. 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






18. Functions of angles






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






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






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






22. The process of evaluating an indefinite integral






23. Intervals on which the second derivative is negative






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






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






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






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






28. The inverse of an eponential function






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






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






31. ex) dx - dy etc






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






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






34. N(1-r)^x






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






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






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






39. Having the limits or boundaries established






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






41. Intervals in which the second derivative is positive






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






43. 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






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






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






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






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. 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






49. The limit of f as x approaches c from the right






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