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






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






4. The vertical axis of the Cartesian coordinate system






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






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






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






8. Local maximums of minimums of a function






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






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






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






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






13. The absolute value or magnitude of velocity






14. In integrating composite function - either using pattern recognition or change of variables to perform the integration






15. A function such that the following is true






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






18. The reciprocal of the tangent function






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






20. 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






21. The process of finding the derivative of a function






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






23. 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






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






25. A line through two points on the curve






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






27. 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






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






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






30. The inverse of the cosine function






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






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






34. 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






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






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






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






38. 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






39. 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






40. 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)






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






42. The horizontal axis of the Cartesian coordinate system






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






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






45. 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






46. A line around which some body or curve rotates






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






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






49. 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






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