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AP Calculus Vocab

Subjects : math, ap, calculus
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. The smallest value of a function for each value of the domain

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

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 or an x-intercept of the graph

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

5. The differentiation of an implicit function with respect to the independent variable

6. A function that can be expressed in the form f(x)=mx+b

7. The function y=lnx is the inverse of the exponential function y=e^x

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

9. An arbitrary constant term in the expression of the indefinite integral of a function

10. The number which - when raised to the power of a given logarithm - produces a given number

11. A method of obtaining the derivative of a composite function

12. An indefinite integral. an arbitrary constant '+c' is included

13. In periodic functions - the height of the function at the maximum to the middle line

14. The set of all values that can be assumed by the independent variable of a function

15. Slope between two points on a function

16. The absolute value or magnitude of velocity

17. The process of evaluating an indefinite integral

18. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse

19. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y

20. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)

21. The function that is integrated in an integral

22. The set of points in a plane that are equidistant from a given point

23. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint

24. 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

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

26. 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

27. The reciprocal of the tangent function

28. The vertical axis of the Cartesian coordinate system

29. 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 midpoint of the sub-interval

30. A function that is defined by applying different formulas to different parts of its domain

31. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function

32. A line perpendicular to a tangent line at the point of tangency

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

34. For all x in [a -b] - f'(x)>0

35. If a function has a well-defined derivative for each element of the domain

36. The local and global maximums and minumums of a function

37. A line around which some body or curve rotates

38. A function such that the following is true

39. The point (0 -0) in the Cartesian coordinate plane

40. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis

41. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure

42. The horizontal axis of the Cartesian coordinate system

43. For all x in [a -b] - f'(x)<0

44. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.

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

46. Notation used for the first derivative of a function

47. A line around which a geometric figure is symmetrical

48. A line through two points on the curve

49. Any ordered pair (x -y) where f'(x)=0 or is undefined

50. The solid figure generated by revolving a plane region around a line