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






2. Slope between two points on a function






3. 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.






4. 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






5. 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






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






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






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






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






10. 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






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






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






13. 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






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






15. The inverse of the sine function






16. 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






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






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






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






20. Notation used for the first derivative of a function






21. 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






22. The function that is integrated in an integral






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






24. The reciprocal of the tangent function






25. A line through two points on the curve






26. A function such that the following is true






27. 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






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






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






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






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






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






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






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






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






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






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






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






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






40. A line around which a geometric figure is symmetrical






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






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






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






44. The process by which an antiderivative is calculated






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






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






47. The inverse of the tangent function






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






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






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