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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.
  • 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. A function such that the following is true






2. The reciprocal of the tangent function






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






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






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






6. 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






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






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






10. The function that is integrated in an integral






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






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






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






14. Slope between two points on a function






15. 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






16. The horizontal axis of the Cartesian coordinate system






17. The inverse of the tangent function






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






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






20. The process by which an antiderivative is calculated






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






22. The inverse of the cosine function






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






24. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






30. 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






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






32. A line around which some body or curve rotates






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






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






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






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






37. 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






38. The process of evaluating an indefinite integral






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






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






41. 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






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






43. 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






44. 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.






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






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






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






48. 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






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






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







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