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






2. Input of function






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






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






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






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






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






8. 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






9. 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






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






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






12. 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






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






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






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






16. ex) dx - dy etc






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






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






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






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






21. Intervals on which the second derivative is negative






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






23. The reciprocal of the sine function






24. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






27. 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






28. 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






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






30. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






31. Functions of angles






32. Dividing an interval into n sub-intervals






33. 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)






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






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






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






37. 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






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






39. 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)






40. The function that is integrated in an integral






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






42. A²=(b²+c²)-2(ab)Cos(A)






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






44. Intervals in which the second derivative is positive






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






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






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






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






49. The value of the function at a critical point






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