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






2. 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)






3. The reciprocal of the sine function






4. The y-coordinate of a point where a curve intersects the y-axis






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






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






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






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






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






10. The process by which an antiderivative is calculated






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






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






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






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






15. The inverse of the cosine function






16. Local maximums of minimums of a function






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






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






19. A line around which some body or curve rotates






20. 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






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






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






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






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






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






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






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






29. 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.






30. Notation used for the first derivative of a function






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






32. A function such that the following is true






33. f(-x)= -f(x)






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






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






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






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






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






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






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






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






42. The vertical axis of the Cartesian coordinate system






43. The horizontal axis of the Cartesian coordinate system






44. 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






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






46. 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.






47. A line through two points on the curve






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






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






50. The process of finding the derivative of a function