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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. 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






2. 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)






3. The inverse of the sine function






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






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






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






7. A line through two points on the curve






8. 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






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






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






11. The function that is integrated in an integral






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






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






14. The derivative of the first derivative






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






16. 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






17. f(-x)= -f(x)






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






19. A number which serves as an estimate of a desired number






20. 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






21. 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






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






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






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






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






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






27. The vertical axis of the Cartesian coordinate system






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






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






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






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






32. The horizontal axis of the Cartesian coordinate system






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






34. A=x=b






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






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






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






38. 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






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






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






41. A line around which a geometric figure is symmetrical






42. 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






43. The inverse of the tangent function






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






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






46. 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






47. 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.






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






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






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