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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 distance a number is from 0 on a number line






2. 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






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






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






5. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






9. 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






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






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






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






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






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






15. 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






16. 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






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






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






19. 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)






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






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






22. 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






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






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






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






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






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






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






29. 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






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






31. Input of function






32. dy/dx






33. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






34. Imaginary line drawn perpendicular to the surface of a mirror or any surface






35. The function that is integrated in an integral






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






37. Functions of angles






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






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






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






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






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






43. Having the limits or boundaries established






44. 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






45. Intervals in which the second derivative is positive






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






47. 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)






48. ex) dx - dy etc






49. The process of evaluating an indefinite integral






50. 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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