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






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






4. Input of function






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






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






7. N(1-r)^x






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






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






10. 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))






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 left most point of the sub-interval






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






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






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






15. Functions of angles






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






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






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






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






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






21. 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






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






23. ex) dx - dy etc






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






25. The process of evaluating an indefinite integral






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






27. The inverse of an eponential function






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






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






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






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 right-most point of the sub-interval






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






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






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






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






36. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve






37. 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






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






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






40. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






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






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






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






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






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






46. 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)






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






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






49. Intervals on which the second derivative is negative






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