## Test your basic knowledge |

# AP Calculus Ab

**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 local and global maximums and minimums of a function**

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

**3. (geometry)A curve generated by the intersection of a plane or circular cone**

**4. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0**

**5. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.**

**6. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end**

**7. Amount of change / time it takes (amount of change/ length of interval)**

**8. The behavior of the graph of a function as x approaches positive infinity or negative infinity**

**9. Selection of a best element from some set of available alternatives.**

**10. The value that a function is approaching as x approaches a given value through values less than x**

**11. The mathematical process of obtaining the derivative of a function**

**12. Any value in the domain where either the function is not differentiable or its derivative is 0.**

**13. The value of the function approaches as x increases or decreases without bound**

**14. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.**

**15. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)**

**16. If there is some number B that is greater than or equal to every number in the range of f**

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

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

**19. A=(b+c)-2(ab)Cos(A)**

**20. ex) dx - dy etc**

**21. A surface or shape exposed by making a straight cut through something at right angles to the axis.**

**22. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0**

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

**24. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a**

**25. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)**

**26. The inverse of an eponential function**

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

**28. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables**

**29. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N**

**30. The smallest y-value of the function**

**31. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)**

**32. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum**

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

**34. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.**

**35. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly**

**36. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives**

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

**38. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)**

**39. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))**

**40. 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**

**41. If there is some number b that is less than or equal to every number in the range of f**

**42. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative**

**43. Imaginary line drawn perpendicular to the surface of a mirror or any surface**

**44. Functions of angles**

**45. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].**

**46. An undetermined constant added to every result of integration (the added +c)**

**47. 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 of an x-intercept of the graph**

**48. N(1-r)^x**

**49. Having the limits or boundaries established**

**50. A logarithm with the base e - written as ln**