Test your basic knowledge |

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






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






3. Slope between two points on a function






4. 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






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






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






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






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






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






10. The reciprocal of the tangent function






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






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






13. The absolute value or magnitude of velocity






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






15. A=x=b






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






17. 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






18. The derivative of the first derivative






19. 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






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






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






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






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






24. Notation used for the first derivative of a function






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






26. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






27. Local maximums of minimums of a function






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






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






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






31. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






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






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






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






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






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






37. A line through two points on the curve






38. The inverse of the tangent function






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






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






41. f(-x)= -f(x)






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






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 midpoint of the sub-interval






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






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






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






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






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






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






50. The process of finding the derivative of a function