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






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






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






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






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






6. 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.






7. 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






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






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






10. A line through two points on the curve






11. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






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






13. 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






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






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






16. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






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






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






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. 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)






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






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






24. The process of finding the derivative of a function






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






26. 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






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






28. The horizontal axis of the Cartesian coordinate system






29. The vertical axis of the Cartesian coordinate system






30. The inverse of the tangent function






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






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






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






34. 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






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






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






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






38. The process of evaluating an indefinite integral






39. The reciprocal of the tangent function






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






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






42. The inverse of the cosine function






43. A line around which a geometric figure is symmetrical






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






45. 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






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






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






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






49. 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






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