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






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






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






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






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






6. Functions of angles






7. Intervals on which the second derivative is negative






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






9. 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






10. The reciprocal of the sine function






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






12. 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






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






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






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






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






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






18. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






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






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






21. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






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






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






24. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






25. 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






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






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






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






29. The inverse of an eponential function






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






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






32. 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






33. 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






34. The process of evaluating an indefinite integral






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






36. Dividing an interval into n sub-intervals






37. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






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






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






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






42. ex) dx - dy etc






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






44. 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)






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






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






47. 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






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






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






50. d = v[( x2 - x1)² + (y2 - y1)²]