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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 number which serves as an estimate of a desired number






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






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






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






5. A line through two points on the curve






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






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






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






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






10. A line around which a geometric figure is symmetrical






11. 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)






12. The reciprocal of the cosine function






13. 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.






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






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






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






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






19. The reciprocal of the sine function






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






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






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






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






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






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






26. The vertical axis of the Cartesian coordinate system






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






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






29. Notation used for the first derivative of a function






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






31. 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






32. 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






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






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






35. 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






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






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






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






39. The horizontal axis of the Cartesian coordinate system






40. The process by which an antiderivative is calculated






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






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






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






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






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






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






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






48. 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






49. Local maximums of minimums of a function






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