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AP Calculus Vocab

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

2. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points

3. A function such that the following is true

4. 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

5. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point

6. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)

7. The process of evaluating an indefinite integral

8. 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

9. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation

10. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration

11. The amount of change divided by the time it takes

12. The process by which an antiderivative is calculated

13. A function has a relative maximum if the derivative changes signs from positive to zero to negative

14. A number which serves as an estimate of a desired number

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

16. The reciprocal of the tangent function

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

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

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

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

21. In integrating composite function - either using pattern recognition or change of variables to perform the integration

22. The x-coordinate of the point where a curve intersects the x-axis

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

24. The vertical axis of the Cartesian coordinate system

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

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

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

28. A segment from the center of the circle to a point on the circle

29. 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.

30. 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

31. Any x values where f'(x)=0 or is undefined

32. A line around which some body or curve rotates

33. The ratio x/r with r being the distance of (x -y) from the origin

34. Slope between two points on a function

35. A line through two points on the curve

36. The absolute value or magnitude of velocity

37. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x

38. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression

39. Notation used for the first derivative of a function

40. The rate of change of the velocity with respect to time. the second derivative of a position function

41. Local maximums of minimums of a function

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

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

44. The highest value of a function for each value of the domain

45. A=x=b

46. Having an increasing derivative as the independent variable increases - having a positive second derivative

47. The reciprocal of the sine function

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

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

50. f(-x)= -f(x)