Test your basic knowledge |

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






2. Functions of angles






3. 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






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






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






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






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






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






9. 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






10. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






13. 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






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






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






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






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






18. Input of function






19. Dividing an interval into n sub-intervals






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






21. 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






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






23. 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






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






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






26. 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.






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






28. The process of evaluating an indefinite integral






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






30. The function that is integrated in an integral






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






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






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






34. 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)






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






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






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






38. 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






39. 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






40. 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






41. Intervals in which the second derivative is positive






42. The inverse of an eponential function






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






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






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. 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)






47. 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)






48. 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






49. If there is some number B that is greater than or equal to every number in the range of f






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