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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. The inverse of an eponential function






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






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






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






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






7. The process of evaluating an indefinite integral






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






9. 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))






10. 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






11. 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






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






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






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






15. The value of the function at a critical point






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






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






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






19. 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)






20. The function that is integrated in an integral






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






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






23. N(1-r)^x






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






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






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






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






28. The reciprocal of the sine function






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






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






31. 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






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






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






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






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






36. The smallest y-value of the function






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






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






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






40. 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)






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






42. 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






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






44. An undetermined constant added to every result of integration (the added +c)






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






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






47. 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.






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






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






50. 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