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AP Calculus Ab

Subjects : math, ap, calculus
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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. Curve whose points are at a fixed normal distance of a given curve

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

3. 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

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

5. 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))

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

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

9. The function that is integrated in an integral

10. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)

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

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

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

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

15. The value of the function at a critical point

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

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

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

19. Functions of angles

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

21. d = v[( x2 - x1) + (y2 - y1)]

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

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

24. 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.

25. The inverse of an eponential function

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

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

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

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

30. 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

31. 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

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

33. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum

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

35. 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)

36. 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

37. Intervals on which the second derivative is negative

38. The smallest y-value of the function

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

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

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

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

43. Intervals in which the second derivative is positive

44. 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

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

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

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

48. 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

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

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