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AP Calculus Vocab

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






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






3. The reciprocal of the cosine function






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






5. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






6. The smallest value of a function for each value of the domain






7. A function such that the following is true






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






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






10. 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






11. f(-x)= -f(x)






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






13. Slope between two points on a function






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






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






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






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






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






19. A line around which some body or curve rotates






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






21. 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






22. Local maximums of minimums of a function






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






24. In an application - maximizing or minimizing some aspect of the system being modeled






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






26. 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






27. The vertical axis of the Cartesian coordinate system






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






29. 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






30. The horizontal axis of the Cartesian coordinate system






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






32. The reciprocal of the sine function






33. 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)






34. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






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






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






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






38. 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.






39. 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






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






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






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






43. The inverse of the sine function






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






45. The inverse of the tangent function






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






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






48. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






50. The process of finding the derivative of a function