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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. 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)






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






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






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






5. A line around which some body or curve rotates






6. 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






7. The derivative of the first derivative






8. The process by which an antiderivative is calculated






9. 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.






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






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






12. A function such that the following is true






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






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






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






16. The absolute value or magnitude of velocity






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






18. A line around which a geometric figure is symmetrical






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






20. 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






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






22. 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






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






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






25. 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






26. Slope between two points on a function






27. 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






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






29. The vertical axis of the Cartesian coordinate system






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






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






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






33. The inverse of the sine function






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






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






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






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






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






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






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






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






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






43. The process of finding the derivative of a function






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






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






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






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






48. A line through two points on the curve






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






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