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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 limit of f as x approaches c from the right






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






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






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






5. The reciprocal of the sine function






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






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






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






9. 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






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






11. 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






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






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






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






15. 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)






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






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






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






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






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






21. The process of evaluating an indefinite integral






22. 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.






23. 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






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






25. Intervals on which the second derivative is negative






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






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






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






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






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






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






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






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






34. 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)






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






36. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






40. Intervals in which the second derivative is positive






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






42. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






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






44. Having the limits or boundaries established






45. 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






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






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






49. The inverse of an eponential function






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