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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. Local maximums of minimums of a function






2. A line around which a geometric figure is symmetrical






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






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






5. 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






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






8. The vertical axis of the Cartesian coordinate system






9. 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






10. The absolute value or magnitude of velocity






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






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






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






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






15. 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






16. The derivative of the first derivative






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






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






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






20. Notation used for the first derivative of a function






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






22. The horizontal axis of the Cartesian coordinate system






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






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






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






26. The reciprocal of the tangent function






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






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






29. f(-x)= -f(x)






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






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






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






33. The inverse of the sine function






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






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. 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






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






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






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






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






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






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






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






44. The process of finding the derivative of a function






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






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






47. A=x=b






48. The reciprocal of the sine function






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






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