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






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






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






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






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






7. f(-x)= -f(x)






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






9. Slope between two points on a function






10. 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)






11. 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






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






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






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






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






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






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






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






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






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






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






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






23. A line around which some body or curve rotates






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






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






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






27. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






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






34. A function such that the following is true






35. The reciprocal of the tangent function






36. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






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






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






39. The horizontal axis of the Cartesian coordinate system






40. 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.






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






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






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 function that is integrated in an integral






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






46. A line through two points on the curve






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






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






49. 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






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






Can you answer 50 questions in 15 minutes?



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