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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 value of a function for each value of the domain






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






3. 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






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






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






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






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






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






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






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






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






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






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






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






15. Slope between two points on a function






16. The absolute value or magnitude of velocity






17. The process of evaluating an indefinite integral






18. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






19. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






20. 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)






21. The function that is integrated in an integral






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






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






24. 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






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






26. 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






27. The reciprocal of the tangent function






28. The vertical axis of the Cartesian coordinate system






29. 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






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






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






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






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






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






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






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






37. A line around which some body or curve rotates






38. A function such that the following is true






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






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






42. The horizontal axis of the Cartesian coordinate system






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






44. 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.






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






46. Notation used for the first derivative of a function






47. A line around which a geometric figure is symmetrical






48. A line through two points on the curve






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






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