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






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






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






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






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






7. 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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8. 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






9. dy/dx






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






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






12. N(1-r)^x






13. 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






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






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






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






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






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






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






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






22. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






23. The function that is integrated in an integral






24. 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






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






26. 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






27. 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






28. The inverse of an eponential function






29. 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






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






31. 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))






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






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






34. The process of evaluating an indefinite integral






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






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






37. Input of function






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






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






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






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






42. 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






43. A limit in which f(x) increases or decreases without bound - as x approaches c






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






45. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve






46. Intervals in which the second derivative is positive






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






48. 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)






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






50. 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