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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 mathematical process of obtaining the derivative of a function






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






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






5. The value of the function at a critical point






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






8. Having the limits or boundaries established






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






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






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






12. 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)






13. 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






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






15. dy/dx






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






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






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






19. 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))






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






21. Intervals in which the second derivative is positive






22. The maximum distance that the particles of a wave's medium vibrate from their rest position






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






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






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






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






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






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






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






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






31. The inverse of an eponential function






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






33. A²=(b²+c²)-2(ab)Cos(A)






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






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






36. 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 right-most point of the sub-interval






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






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






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






40. 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.






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






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






43. Input of function






44. The smallest y-value of the function






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






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






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






48. 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






49. Dividing an interval into n sub-intervals






50. 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)