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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 limit of f as x approaches c from the right






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






3. 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






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






5. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






6. 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






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






8. 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






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






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






11. 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






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






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






14. dy/dx






15. The smallest y-value of the function






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






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






18. 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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19. 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)






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






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






22. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






26. 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






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






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






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






30. The function that is integrated in an integral






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






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






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






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






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






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






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






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






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






40. Intervals in which the second derivative is positive






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






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






43. A limit in which f(x) increases or decreases without bound - as x approaches c






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






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






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






47. Having the limits or boundaries established






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






49. 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)






50. 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