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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. If a function has a well-defined derivative for each element of the domain






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






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






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






5. Any function closely related to the exponential function - and in particular y=a^x - for any a






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






7. A line through two points on the curve






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






9. Having a decreasing derivative as the independent variable increases; having a negative second derivative






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






11. The reciprocal of the sine function






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






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






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






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






16. The process of evaluating an indefinite integral






17. 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






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






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






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






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






22. 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






23. 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






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






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






26. A line around which some body or curve rotates






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






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






29. The process by which an antiderivative is calculated






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






31. A function such that the following is true






32. Slope between two points on a function






33. 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.






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






35. 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






36. f(-x)= -f(x)






37. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






38. A line around which a geometric figure is symmetrical






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






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






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






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






43. 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






44. The inverse of the sine function






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






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






47. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






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






49. The function that is integrated in an integral






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







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