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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. 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






2. 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






3. A function such that the following is true






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






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






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






7. 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






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






9. Local maximums of minimums of a function






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






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






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






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






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






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






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






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






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






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






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






21. The vertical axis of the Cartesian coordinate system






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






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






24. Slope between two points on a function






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






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






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






28. 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






29. The reciprocal of the sine function






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






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






32. 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






33. The reciprocal of the tangent function






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






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






36. The process by which an antiderivative is calculated






37. The inverse of the cosine function






38. 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.






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






40. A line around which a geometric figure is symmetrical






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






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






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






44. The process of evaluating an indefinite integral






45. The inverse of the tangent function






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






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






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






49. 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






50. The horizontal axis of the Cartesian coordinate system