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






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






3. 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






4. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






5. Functions of angles






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






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






8. 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)






9. N(1-r)^x






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






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






12. 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.






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






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






15. Intervals in which the second derivative is positive






16. A²=(b²+c²)-2(ab)Cos(A)






17. The reciprocal of the sine function






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






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






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






21. 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






22. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






23. 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






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






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






26. ex) dx - dy etc






27. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






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






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






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






31. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






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






33. Input of function






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






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






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






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






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






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






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






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






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






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






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






45. dy/dx






46. 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)






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






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






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






50. 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)