Test your basic knowledge |

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






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






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






4. 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






5. 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






6. Having the limits or boundaries established






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






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






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






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






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






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






13. 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






14. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






15. 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.






16. dy/dx






17. 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






18. A²=(b²+c²)-2(ab)Cos(A)






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






20. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






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






22. The value of the function at a critical point






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






24. 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






25. The process of evaluating an indefinite integral






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






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






28. 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






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






30. Functions of angles






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






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






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






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






35. The function that is integrated in an integral






36. The smallest y-value of the function






37. N(1-r)^x






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






39. Intervals in which the second derivative is positive






40. d = v[( x2 - x1)² + (y2 - y1)²]






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. 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)






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






44. The reciprocal of the sine function






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






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






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






48. Input of function






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






50. The inverse of an eponential function