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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 vertical axis of the Cartesian coordinate system






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






3. Notation used for the first derivative of a function






4. The ratio x/r with r being the distance of (x -y) from the origin






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






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






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






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






9. 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






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






11. The reciprocal of the sine function






12. The horizontal axis of the Cartesian coordinate system






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






14. 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






15. A function such that the following is true






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






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






18. f(-x)= -f(x)






19. Slope between two points on a function






20. The process of finding the derivative of a function






21. Local maximums of minimums of a function






22. The inverse of the tangent function






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






24. 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)






25. A=x=b






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






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






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






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






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






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






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






33. The inverse of the sine function






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






35. 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






36. 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.






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






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






39. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






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






41. 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






42. 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






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






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






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






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






47. A line through two points on the curve






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






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






50. A line around which some body or curve rotates