## 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 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))**

**2. 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**

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

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

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

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

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

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

**9. 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**

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

**11. 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)**

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

**13. 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**

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

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

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

**17. Input of function**

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

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

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

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

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

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

**24. 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.**

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

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

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

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

**29. 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**

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

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

**32. 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)**

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

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

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

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

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

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

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

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

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

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

**43. 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)**

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

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

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

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

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

**49. 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**

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