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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 smallest y-value of the function






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






3. N(1-r)^x






4. 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)






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






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






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






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






9. Functions of angles






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






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






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






13. A²=(b²+c²)-2(ab)Cos(A)






14. 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.






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






16. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






17. 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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18. Intervals on which the second derivative is negative






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






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






21. Having the limits or boundaries established






22. dy/dx






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






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






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






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






27. 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






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






29. 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






30. 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






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






32. A logarithm with the base e - written as ln






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






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






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






36. 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






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






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






39. Intervals in which the second derivative is positive






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






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






42. The process of evaluating an indefinite integral






43. 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






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






45. 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






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






47. 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)






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






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






50. Dividing an interval into n sub-intervals







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