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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 is continuous at every point on the interval






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






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






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






5. Dividing an interval into n sub-intervals






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






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






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






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






10. 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






11. N(1-r)^x






12. 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






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






14. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






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






16. ex) dx - dy etc






17. 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






18. The process of evaluating an indefinite integral






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






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






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






22. 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.






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






24. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






25. 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






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






27. 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






28. Ratio between the length of an arc and its radius






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






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






31. 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)






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






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






34. The value of the function at a critical point






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






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






37. A²=(b²+c²)-2(ab)Cos(A)






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






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






40. 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)






41. The reciprocal of the sine function






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






43. 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






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






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






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






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






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






49. Input of function






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