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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 function that is integrated in an integral






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






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






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






5. 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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6. Selection of a best element from some set of available alternatives.






7. The reciprocal of the sine function






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






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






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






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






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






13. 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.






14. 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






15. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






17. N(1-r)^x






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






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






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






21. 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






22. 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






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. 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






25. Intervals in which the second derivative is positive






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






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






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






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






30. 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)






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






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






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






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. Dividing an interval into n sub-intervals






36. 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






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






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






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






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






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






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






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






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






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






46. The value of the function at a critical point






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






48. 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)






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






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