## 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. Two curves that have perpendicular tangents at the point of tangency**

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

**4. 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)**

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

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

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

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

**9. A variable occurring in a function - but on which the value of the function does not depend**

**10. 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))**

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

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

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

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

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

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

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

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

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

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

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

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

**23. 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**

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

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

**26. 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**

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

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

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

**30. dy/dx**

**31. 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**

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

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

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

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

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

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

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

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

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

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

**43. A line that divides a figure in half so that each half is the mirror image of the other.**

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

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

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

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

**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 right-most point of the sub-interval**

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

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