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






2. The reciprocal of the tangent function






3. 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






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






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






6. The inverse of the sine function






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






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






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






10. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






11. 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






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






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






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






15. A=x=b






16. The process of evaluating an indefinite integral






17. 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






18. 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






19. The process by which an antiderivative is calculated






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






21. 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






22. The derivative of the first derivative






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






24. The horizontal axis of the Cartesian coordinate system






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






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






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






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






29. 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






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






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






32. The reciprocal of the sine function






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






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






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






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






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






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






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






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






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






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






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






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






45. The absolute value or magnitude of velocity






46. Slope between two points on a function






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






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






49. The vertical axis of the Cartesian coordinate system






50. The inverse of the cosine function