## 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 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**

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

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

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

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

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

**7. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.**

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

**9. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0**

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

**11. Input of function**

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

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

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

**15. 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))**

**16. Graph is symmetrical with respect to the origin; f(-x)=-f(x)**

**17. 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)**

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

**19. dy/dx**

**20. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)**

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

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

**23. 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**

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

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

**26. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x**

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

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

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

**30. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives**

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

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

**33. A function that possesses a finite integral; the function must be continuous on the interval of integration**

**34. Dividing an interval into n sub-intervals**

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

**36. 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**

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

**38. A straight line that is the limiting value of a curve**

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

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

**41. A limit in which f(x) increases or decreases without bound - as x approaches c**

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

**43. 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**

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

**45. 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)**

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

**47. 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**

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

**49. A function whose domain is divided into several parts and a different function rule is applied to each part**

**50. Functions of angles**