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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. The smallest y-value of the function






2. The reciprocal of the sine function






3. 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)






4. The function that is integrated in an integral






5. ex) dx - dy etc






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






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






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






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






10. 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)






11. 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






12. 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






13. Intervals on which the second derivative is negative






14. 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.






15. Input of function






16. 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






17. 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






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






19. 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))






20. The value of the function at a critical point






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






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






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






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






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






26. A function that is continuous on both the left and right side at that point






27. 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






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






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






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






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






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






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






34. A²=(b²+c²)-2(ab)Cos(A)






35. 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






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






37. Having the limits or boundaries established






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






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






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






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






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






44. 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)






45. 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






46. A variable occurring in a function - but on which the value of the function does not depend






47. 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






48. The inverse of an eponential function






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






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