## 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. Graph is symmetrical with respect to the origin; f(-x)=-f(x)**

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

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

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

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

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

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

**8. 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**

**9. Input of function**

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

**11. 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**

**12. 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**

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

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

**15. 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**

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

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

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

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

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

**21. 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)**

**22. 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))**

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

**24. 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)**

**25. 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**

**26. dy/dx**

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

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

**29. 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**

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

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

**32. Functions of angles**

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

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

**35. 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)**

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

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

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

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

**40. 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**

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

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

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

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

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

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

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

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

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

**50. Ratio between the length of an arc and its radius**