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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. 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






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






3. 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






4. The reciprocal of the cosine function






5. Slope between two points on a function






6. f(-x)= -f(x)






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






8. The inverse of the sine function






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






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






11. A line around which a geometric figure is symmetrical






12. The absolute value or magnitude of velocity






13. The reciprocal of the tangent function






14. 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






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






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






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






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






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






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






21. The derivative of the first derivative






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






23. The reciprocal of the sine function






24. The horizontal axis of the Cartesian coordinate system






25. 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






26. 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.






27. A line around which some body or curve rotates






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






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






30. The process of evaluating an indefinite integral






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






32. A line through two points on the curve






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






34. Notation used for the first derivative of a function






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






36. 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






37. 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






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






39. 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.






40. 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)






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






42. Local maximums of minimums of a function






43. 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






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






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






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






47. The vertical axis of the Cartesian coordinate system






48. The process of finding the derivative of a function






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






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