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






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






3. Having the limits or boundaries established






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






5. 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






6. ex) dx - dy etc






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






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






9. 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)






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






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






12. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






13. 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)






14. 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))






15. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






16. 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






17. Intervals in which the second derivative is positive






18. N(1-r)^x






19. 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






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






21. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






25. The smallest y-value of the function






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






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






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






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






30. The process of evaluating an indefinite integral






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






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






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






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






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






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






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






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






40. dy/dx






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






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






43. Input of function






44. 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






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






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






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 measure of how a function changes as its input changes.






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






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







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