Test your basic knowledge |

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. Slope between two points on a function






2. The function that is integrated in an integral






3. The inverse of the sine function






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






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






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






7. A=x=b






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






9. 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.






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






11. A line through two points on the curve






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






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






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






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






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






17. 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.






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






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






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






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






23. A line around which some body or curve rotates






24. The inverse of the cosine function






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






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






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






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






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






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






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






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






33. 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






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






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






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






37. The horizontal axis of the Cartesian coordinate system






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






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






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






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






42. Notation used for the first derivative of a function






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






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






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






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






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






48. 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






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