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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. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






5. 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






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






7. Input of function






8. Functions of angles






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






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






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






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






13. The value of the function at a critical point






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






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






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






17. 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)






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






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






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






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






22. 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






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






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






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






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






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






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






29. The reciprocal of the sine function






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






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






32. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






33. dy/dx






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






35. 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.






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






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






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






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






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






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






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






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






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






45. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






46. The distance a number is from 0 on a number line






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






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






49. N(1-r)^x






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