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

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

**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 function that is continuous at every point on the interval**

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

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

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

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

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

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

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

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

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

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

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

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

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

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

**19. 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**

**20. 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)**

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

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

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

**24. 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**

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

**26. 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**

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

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

**29. 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**

**30. A function that is defined by applying different formulas to different parts of its domain**

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

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

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

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

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

**36. The local and global maximums and minumums of a function**

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

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

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

**40. 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**

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

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

**44. 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.**

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

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

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

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

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

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