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






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






4. Intervals in which the second derivative is positive






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






6. 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






7. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






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






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






10. 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)






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






12. Dividing an interval into n sub-intervals






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






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






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






16. The inverse of an eponential function






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






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






19. 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






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






21. The value of the function at a critical point






22. The function that is integrated in an integral






23. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






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






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






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






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






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






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






30. The smallest y-value of the function






31. 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






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






33. ex) dx - dy etc






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






35. 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






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






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






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






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






40. 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






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






42. dy/dx






43. 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






44. Input of function






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






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






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






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






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






50. 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