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

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

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

**4. 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**

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

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

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

**8. 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**

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

**29. 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.**

**30. 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**

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

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

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

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

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

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

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

**38. 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**

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

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

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

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

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

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

**45. A=x=b**

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

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

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

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

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