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 logarithm with the base e - written as ln






2. 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






3. 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






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






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






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






7. 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)






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






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






10. 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






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






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






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






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






15. Functions of angles






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






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






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






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






20. The process of evaluating an indefinite integral






21. Intervals on which the second derivative is negative






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






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






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






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






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






29. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


30. Dividing an interval into n sub-intervals






31. 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






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






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






34. A²=(b²+c²)-2(ab)Cos(A)






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






36. The value of the function at a critical point






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






38. ex) dx - dy etc






39. Having the limits or boundaries established






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






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






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






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






44. 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)






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






46. 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






47. 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)






48. The inverse of an eponential function






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






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