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






2. 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






3. The reciprocal of the sine function






4. ex) dx - dy etc






5. 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






6. The smallest y-value of the function






7. 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






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






9. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






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






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






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






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






15. A²=(b²+c²)-2(ab)Cos(A)






16. 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






17. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






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






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






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






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






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






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






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






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






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






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






28. 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






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






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






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






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






33. The value of the function at a critical point






34. Input of function






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






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






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






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






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






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






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






42. 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






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






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






45. Intervals in which the second derivative is positive






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






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






48. The process of evaluating an indefinite integral






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






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