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






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






3. 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






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






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






6. 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)






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






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






9. Functions of angles






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






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






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






13. Intervals in which the second derivative is positive






14. dy/dx






15. 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






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






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






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






19. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






20. The function that is integrated in an integral






21. ex) dx - dy etc






22. 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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23. The mathematical process of obtaining the derivative of a function






24. 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






25. 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.






26. 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))






27. Intervals on which the second derivative is negative






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






30. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






34. A²=(b²+c²)-2(ab)Cos(A)






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






36. 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






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






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






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






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






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






42. 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






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






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






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






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






47. 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






48. The reciprocal of the sine function






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






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