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






3. Having the limits or boundaries established






4. Intervals on which the second derivative is negative






5. The process of evaluating an indefinite integral






6. The value of the function at a critical point






7. 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






8. 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






9. Intervals in which the second derivative is positive






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






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






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






13. A²=(b²+c²)-2(ab)Cos(A)






14. The inverse of an eponential function






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






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






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






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






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






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






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






22. ex) dx - dy etc






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






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






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






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






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






28. 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






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






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






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






32. 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))






33. Functions of angles






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






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






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






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






38. Input of function






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






40. 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)






41. N(1-r)^x






42. 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






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






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






45. 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






46. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






49. Dividing an interval into n sub-intervals






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