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






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






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






4. 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






5. 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






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






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






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






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






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






11. The horizontal axis of the Cartesian coordinate system






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






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






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






15. A line around which a geometric figure is symmetrical






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






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






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






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






20. 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






21. The inverse of the cosine function






22. A line through two points on the curve






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






24. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure






25. 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.






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






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






28. 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






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






30. The inverse of the sine function






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






32. 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






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






34. 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






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






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






37. 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.






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






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






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






41. 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






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






43. The process of evaluating an indefinite integral






44. The process of finding the derivative of a function






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






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






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






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






49. A function such that the following is true






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