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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. 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






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






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






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






5. A line through two points on the curve






6. 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.






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






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






9. 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






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






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






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






13. The reciprocal of the tangent function






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






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






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






17. 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






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






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






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






21. The inverse of the tangent function






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






23. The vertical axis of the Cartesian coordinate system






24. A=x=b






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






26. The reciprocal of the sine function






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






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






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






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






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






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






33. A function such that the following is true






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






35. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






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






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






38. Notation used for the first derivative of a function






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






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






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






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






43. The inverse of the sine function






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






45. The reciprocal of the cosine function






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






47. 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






48. The rate of change of position with respect to time






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






50. 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