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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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 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))






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






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






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






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






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






8. 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






9. 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






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






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






12. 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






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






14. 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)






15. The reciprocal of the sine function






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






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






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






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






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






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






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






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






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






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






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






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






28. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






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






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






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






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






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






34. 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)






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






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






38. The inverse of an eponential function






39. The process of evaluating an indefinite integral






40. Having the limits or boundaries established






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






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






43. The function that is integrated in an integral






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






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






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






47. The smallest y-value of the function






48. A²=(b²+c²)-2(ab)Cos(A)






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






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