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






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. 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)






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






5. The mathematical process of obtaining the derivative of a function






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






7. Ratio between the length of an arc and its radius






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






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






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






11. 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






12. 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






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






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






15. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






18. Dividing an interval into n sub-intervals






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






20. sinA/a=sinB/b=sinC/c






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






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






23. 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






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






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






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






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






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






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






30. Having the limits or boundaries established






31. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






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






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






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






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






36. The distance a number is from 0 on a number line






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






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






39. 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






40. Intervals on which the second derivative is negative






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






42. 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






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






44. 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






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






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






47. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






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






49. N(1-r)^x






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