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






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






3. Intervals in which the second derivative is positive






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






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






6. 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






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






8. 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)






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






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






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






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






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






14. Functions of angles






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






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






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






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






19. 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)






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






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






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






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






24. Having the limits or boundaries established






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






26. dy/dx






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






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






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






30. 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






31. 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)






32. 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






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






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






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






36. d = v[( x2 - x1)² + (y2 - y1)²]






37. A²=(b²+c²)-2(ab)Cos(A)






38. 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






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






40. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






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






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






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






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






45. 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






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






47. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.






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






49. Dividing an interval into n sub-intervals






50. 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)