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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. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






2. 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.






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






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






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






6. dy/dx






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






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






9. 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






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. 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






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






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 right-most point of the sub-interval






14. A²=(b²+c²)-2(ab)Cos(A)






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






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






17. The value of the function at a critical point






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






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






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






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






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






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






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






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






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






27. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






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






29. Intervals on which the second derivative is negative






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






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






32. Dividing an interval into n sub-intervals






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






34. d = v[( x2 - x1)² + (y2 - y1)²]






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






36. 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)






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






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






39. Functions of angles






40. 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






41. 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)






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






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






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






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






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






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






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






49. 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






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