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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 whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






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






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






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






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






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






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






8. Having the limits or boundaries established






9. Input of function






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






11. 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






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






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






14. 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






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






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






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






18. 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






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






20. 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






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






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






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






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






25. dy/dx






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






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






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






29. 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






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






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






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






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






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






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






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






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






38. The reciprocal of the sine function






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






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






41. Dividing an interval into n sub-intervals






42. ex) dx - dy etc






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. 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






45. 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)






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






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






48. 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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49. A logarithm with the base e - written as ln






50. 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