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






2. Intervals in which the second derivative is positive






3. 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






4. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






9. Two curves that have perpendicular tangents at the point of tangency






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






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






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






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






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






15. N(1-r)^x






16. 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






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






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






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






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






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






22. 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))






23. Having the limits or boundaries established






24. 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 left most point of the sub-interval






25. Functions of angles






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






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






28. A given value of x and f(x) used to find the constant of integration






29. dy/dx






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






31. The reciprocal of the sine function






32. Intervals on which the second derivative is negative






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






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






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






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






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






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






39. 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






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






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






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






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






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






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. Dividing an interval into n sub-intervals






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






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






49. 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






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