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






2. Amount of change / time it takes (amount of change/ length of interval)






3. 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)






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






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






6. The value of the function at a critical point






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






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






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






10. 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)






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






12. 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






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






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






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






17. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






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






19. dy/dx






20. 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)






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






22. The process of evaluating an indefinite integral






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






24. 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






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






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






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






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






29. Dividing an interval into n sub-intervals






30. Functions of angles






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






32. The smallest y-value of the function






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






34. Intervals on which the second derivative is negative






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






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






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






38. 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)






39. The inverse of an eponential function






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






41. Having the limits or boundaries established






42. 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






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






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






45. The reciprocal of the sine function






46. 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






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






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






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






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