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






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






3. 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






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






5. Intervals in which the second derivative is positive






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 right-most point of the sub-interval






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






8. 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






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






10. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






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






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






13. The inverse of an eponential function






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






15. ex) dx - dy etc






16. dy/dx






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






18. 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.






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






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






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






22. Input of function






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






24. The process of evaluating an indefinite integral






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






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






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






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






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






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






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






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






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






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






37. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






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






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






40. The value of the function at a critical point






41. 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






42. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






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






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






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






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






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






48. 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)






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






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