## 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 periodic functions - the height of the function at the maximum to the middle line**

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

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

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

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

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

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

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

**9. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative**

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

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

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

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

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

**15. Notation used for the first derivative of a function**

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

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

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

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

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

**21. 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**

**22. A method of obtaining the derivative of a composite function**

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

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

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

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

**27. The reciprocal of the sine function**

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

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

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

**31. The reciprocal of the tangent function**

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

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

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

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

**37. 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**

**38. The inverse of the sine function**

**39. The highest value of a function for each value of the domain**

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

**41. The process of evaluating an indefinite integral**

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

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

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

**45. The inverse of the cosine function**

**46. 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**

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

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

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

**50. 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**