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

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

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

**4. 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.**

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

**6. 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**

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

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

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

**10. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)**

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

**12. Functions of angles**

**13. 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**

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

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

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

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

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

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

**20. 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)**

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

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

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

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

**25. 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**

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

**27. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions**

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

**29. 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))**

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

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

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

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

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

**36. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)**

**37. 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)**

**38. 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**

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

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

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

**42. Input of function**

**43. 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**

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

**45. 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.**

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

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

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

**50. 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**