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






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






3. The value of the function at a critical point






4. The function that is integrated in an integral






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






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






7. The inverse of an eponential function






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






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






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






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






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






14. 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






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






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






17. 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






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






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






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






21. 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.






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






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






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






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






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






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






28. 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






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






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






31. 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)






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






33. N(1-r)^x






34. 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






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






36. 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






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






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






39. 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






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






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






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






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






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






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






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






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






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






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






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