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






2. Slope between two points on a function






3. 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






4. A line through two points on the curve






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






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






7. f(-x)= -f(x)






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






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






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






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






12. The reciprocal of the sine function






13. The process of finding the derivative of a function






14. A function such that the following is true






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






16. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






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






18. The process of evaluating an indefinite integral






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






20. 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






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






22. The vertical axis of the Cartesian coordinate system






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






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






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






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






27. The solid figure generated by revolving a plane region around a line






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






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






30. 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






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






32. 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






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






34. 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






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






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






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






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






39. 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.






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






41. The reciprocal of the cosine function






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






43. 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






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






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






46. 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






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






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






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






50. A line around which a geometric figure is symmetrical