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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 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






2. 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)






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






4. 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.






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






6. Dividing an interval into n sub-intervals






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






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






9. The smallest y-value of the function






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






11. 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






12. The reciprocal of the sine function






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






14. N(1-r)^x






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






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






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






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






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






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






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






22. 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))






23. ex) dx - dy etc






24. Functions of angles






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






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






27. 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






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






29. 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






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






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






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






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






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






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






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






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






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






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






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






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






43. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






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






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






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






47. 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






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






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






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