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






2. 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






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






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






5. Notation used for the first derivative of a function






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






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






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






9. 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






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






11. A line around which a geometric figure is symmetrical






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






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






14. 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.






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






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






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






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






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






20. A=x=b






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






22. A function such that the following is true






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






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






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






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






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






28. The derivative of the first derivative






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






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






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






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






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






35. The vertical axis of the Cartesian coordinate system






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






37. Slope between two points on a function






38. The inverse of the cosine function






39. The process of finding the derivative of a function






40. 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






41. The absolute value or magnitude of velocity






42. 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






43. The horizontal axis of the Cartesian coordinate system






44. The reciprocal of the cosine function






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






46. 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






47. A line around which some body or curve rotates






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






49. The process of evaluating an indefinite integral






50. 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