## Test your basic knowledge |

# AP Calculus Vocab

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

**2. 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**

**3. f(-x)= -f(x)**

**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 left-most point of the sub-interval**

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

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

**7. The horizontal axis of the Cartesian coordinate system**

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

**9. 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**

**10. 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**

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

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

**13. The process by which an antiderivative is calculated**

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

**15. 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**

**16. The inverse of the tangent function**

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

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

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

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

**21. 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**

**22. The smallest value of a function for each value of the domain**

**23. A=x=b**

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

**25. 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.**

**26. A line around which some body or curve rotates**

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

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

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

**30. An indefinite integral. an arbitrary constant '+c' is included**

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

**32. The absolute value or magnitude of velocity**

**33. The vertical axis of the Cartesian coordinate system**

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

**35. The process of finding the derivative of a function**

**36. The rate of change of position with respect to time**

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

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

**39. Local maximums of minimums of a function**

**40. Slope between two points on a function**

**41. The function that is integrated in an integral**

**42. A line through two points on the curve**

**43. A line around which a geometric figure is symmetrical**

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

**45. 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)**

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

**47. A function such that the following is true**

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

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

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