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






2. Input of function






3. 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






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






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






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






7. 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)






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






9. dy/dx






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






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






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






13. 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






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






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






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






17. 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






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






19. 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






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






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






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






23. 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






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






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






26. Intervals on which the second derivative is negative






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






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






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






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






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






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






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






34. 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






35. The reciprocal of the sine function






36. 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






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






38. 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))






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






40. The inverse of an eponential function






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






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






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






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






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






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






47. Having the limits or boundaries established






48. 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)






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






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







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