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. The horizontal axis of the Cartesian coordinate system






2. Local maximums of minimums of a function






3. A line around which a geometric figure is symmetrical






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 right-most point of the sub-interval






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






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






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






8. The reciprocal of the sine function






9. 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






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






11. The absolute value or magnitude of velocity






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






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






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






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






16. Slope between two points on a function






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






18. 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






19. 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.






20. A line through two points on the curve






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






22. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






23. The inverse of the cosine function






24. 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






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






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






27. 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






28. f(-x)= -f(x)






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






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






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






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






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






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






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






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






37. The derivative of the first derivative






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






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






40. 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






41. 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






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






43. The inverse of the sine function






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






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






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






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






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






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






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