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

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

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

**4. 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**

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

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

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

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

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

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

**11. The amount of change divided by the time it takes**

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

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

**14. 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**

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

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

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

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

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

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

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

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

**23. A number which serves as an estimate of a desired number**

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

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

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

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

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

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

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

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

**32. 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**

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

**34. 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**

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

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

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

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

**41. The limit of f as x approaches c from the right**

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

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

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

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

**46. 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**

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

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

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

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