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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 process of evaluating an indefinite integral






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






3. N(1-r)^x






4. 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)






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






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






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






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






10. 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)






11. 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






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






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






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






16. The reciprocal of the sine function






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






18. dy/dx






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






20. Functions of angles






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






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






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






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






25. 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)






26. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






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






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






29. 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






30. 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






31. ex) dx - dy etc






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






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






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






35. 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)






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






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






38. 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))






39. 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.






40. 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






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






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






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






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






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






46. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






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






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






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






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