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






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






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






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






5. Any function closely related to the exponential function - and in particular y=a^x - for any a






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






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






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






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 horizontal axis of the Cartesian coordinate system






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






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






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






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






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






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






18. A=x=b






19. 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






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






21. The inverse of the sine function






22. A function such that the following is true






23. 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






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






25. The process by which an antiderivative is calculated






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






27. The function that is integrated in an integral






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






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






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






31. Local maximums of minimums of a function






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






33. The process of evaluating an indefinite integral






34. 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.






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






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






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






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






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






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






41. Slope between two points on a function






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






43. The derivative of the first derivative






44. 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






45. The reciprocal of the tangent function






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






47. 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






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






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






50. 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