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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






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






3. A function such that the following is true






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






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






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






7. 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






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






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






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






11. 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.






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






13. Notation used for the first derivative of a function






14. 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)






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






16. The inverse of the cosine function






17. A=x=b






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






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






20. 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






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






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






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






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






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






27. 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






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






29. The reciprocal of the tangent function






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






31. The highest value of a function for each value of the domain






32. The process of finding the derivative of a function






33. The process of evaluating an indefinite integral






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






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






36. Local maximums of minimums of a function






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






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






40. 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






41. The reciprocal of the cosine function






42. 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






43. 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






44. A line around which some body or curve rotates






45. The function that is integrated in an integral






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






47. 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






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






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






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