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






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






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






4. 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.






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






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






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






8. N(1-r)^x






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






10. 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






11. Dividing an interval into n sub-intervals






12. 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






13. 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)






14. 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))






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






16. 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)






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






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






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






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






21. 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






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






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






24. The inverse of an eponential function






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






26. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






27. The value of the function at a critical point






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






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






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






31. The process of evaluating an indefinite integral






32. 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






33. 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






34. Input of function






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






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






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






38. The smallest y-value of the function






39. 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






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






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






42. The reciprocal of the sine function






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






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






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






46. Intervals in which the second derivative is positive






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






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






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







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