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






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






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






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. 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






6. 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.






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






8. Slope between two points on a function






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






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






11. The vertical axis of the Cartesian coordinate system






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






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






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






15. f(-x)= -f(x)






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






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 horizontal axis of the Cartesian coordinate system






19. The derivative of the first derivative






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






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






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






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






24. 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






25. 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.






26. The absolute value or magnitude of velocity






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






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






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






30. 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






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






32. A function that can be expressed in the form f(x)=mx+b






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






34. The reciprocal of the tangent function






35. 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)






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






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






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






39. A function such that the following is true






40. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






41. The inverse of the cosine function






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






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






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






45. The inverse of the tangent function






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






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






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






49. 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






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