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. 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






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






3. The value of the function at a critical point






4. 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.


5. 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






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






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






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






9. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






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






16. Input of function






17. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)






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






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






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






21. Functions of angles






22. Having the limits or boundaries established






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






24. The inverse of an eponential function






25. 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.






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






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






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






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






31. N(1-r)^x






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






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






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






35. 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)






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






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






38. The process of evaluating an indefinite integral






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






40. The reciprocal of the sine function






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






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






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






44. 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






45. 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






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






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






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






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