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






2. 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






3. 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






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






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






6. 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.






7. 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)






8. Dividing an interval into n sub-intervals






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






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






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






12. The reciprocal of the sine function






13. Two curves that have perpendicular tangents at the point of tangency






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






15. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






20. N(1-r)^x






21. 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)






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






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






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






26. 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






27. 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






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






29. 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






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






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






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






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






35. 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)






36. Having the limits or boundaries established






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






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






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






40. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






44. Intervals in which the second derivative is positive






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






46. The value that a function is approaching as x approaches a given value through values less than x






47. 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))






48. The value of the function at a critical point






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






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







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