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

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

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

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

**5. 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))**

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

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

**8. A given value of x and f(x) used to find the constant of integration**

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

**10. 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)**

**11. sinA/a=sinB/b=sinC/c**

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

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

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

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

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

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

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

**19. Functions of angles**

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

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

**22. A function that is continuous at every point on the interval**

**23. Either of the endpoints of an interval over which a definite integral is to be evaluated**

**24. 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.**

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

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

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

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

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

**30. 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**

**31. 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**

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

**33. 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**

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

**35. 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)**

**36. 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**

**37. Intervals on which the second derivative is negative**

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

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

**40. The distance a number is from 0 on a number line**

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

**42. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve**

**43. Intervals in which the second derivative is positive**

**44. 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**

**45. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined**

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

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

**48. 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 left most point of the sub-interval**

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

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