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






2. The process of finding the derivative of a function






3. The reciprocal of the sine function






4. The limit of f as x approaches c from the right






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






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






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






8. 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






9. A=x=b






10. 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






11. f(-x)= -f(x)






12. 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






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






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






15. A line around which some body or curve rotates






16. 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






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






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






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






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






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






22. 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






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






24. 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






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






26. The horizontal axis of the Cartesian coordinate system






27. Notation used for the first derivative of a function






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






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






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






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






32. A function such that the following is true






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






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






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






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






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






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






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






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






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






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






43. 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.






44. The differentiation of an implicit function with respect to the independent variable






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






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






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






48. The function that is integrated in an integral






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