Test your basic knowledge |

AP Calculus Ab

Subjects : math, ap, calculus
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. N(1-r)^x






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






4. The smallest y-value of the function






5. Selection of a best element from some set of available alternatives.






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






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






8. The value of the function at a critical point






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






10. 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






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






12. A logarithm with the base e - written as ln






13. 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






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






15. The local and global maximums and minimums of a function






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






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






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






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






20. ex) dx - dy etc






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






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






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






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






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






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






27. 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






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






29. 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






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






31. A measure of how a function changes as its input changes.






32. The inverse of an eponential function






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






34. A²=(b²+c²)-2(ab)Cos(A)






35. 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






36. 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.






37. 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)






38. 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






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






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






41. Intervals in which the second derivative is positive






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






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






44. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






48. 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))






49. Input of function






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