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

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

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

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

**5. 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)**

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

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

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

**9. 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**

**10. 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**

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

**12. Functions of angles**

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

**14. Input of function**

**15. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.**

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

**17. 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**

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

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

**20. 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**

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

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

**23. 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**

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

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

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

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

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

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

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

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

**32. 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**

**33. 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))**

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

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

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

**37. 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**

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

**39. 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**

**40. 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**

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

**42. 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**

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

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

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

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

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

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

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

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