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






2. 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






3. The value of the function at a critical point






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






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






6. 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)






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






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






9. ex) dx - dy etc






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






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






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






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






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






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






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






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






18. The function that is integrated in an integral






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






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






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






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






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






24. 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






25. 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






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






27. 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)






28. 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






29. The process of evaluating an indefinite integral






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






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






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






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






34. The reciprocal of the sine function






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






36. 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






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






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






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






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






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






42. Functions of angles






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






44. Having the limits or boundaries established






45. 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.


46. Intervals in which the second derivative is positive






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






48. 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






49. A function f that gives the position f(t) of a body on a coordinate axis at time t






50. A²=(b²+c²)-2(ab)Cos(A)