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

**2. 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**

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

**4. 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**

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

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

**7. The local and global maximums and minimums of a function**

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

**9. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1**

**10. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary**

**11. 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**

**12. A measure of how a function changes as its input changes.**

**13. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val**

**14. 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**

**15. The maximum distance that the particles of a wave's medium vibrate from their rest position**

**16. Functions of angles**

**17. Curve whose points are at a fixed normal distance of a given curve**

**18. 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))**

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

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

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

**22. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit**

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

**24. dy/dx**

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

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

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

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

**29. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions**

**30. 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)**

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

**32. 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**

**33. d = v[( x2 - x1) + (y2 - y1)]**

**34. The value of the function at a critical point**

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

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

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

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

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

**40. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h**

**41. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum**

**42. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)**

**43. Ratio between the length of an arc and its radius**

**44. 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**

**45. A function that can be graphed w/ a line or smooth curve**

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

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

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

**49. A point that represents the maximum value a function assumes over its domain**

**50. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change**