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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






3. The inverse of an eponential function






4. 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)






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






6. Functions of angles






7. 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






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






9. 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






10. 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






11. 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))






12. A²=(b²+c²)-2(ab)Cos(A)






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






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






15. The process of evaluating an indefinite integral






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






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






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






19. 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)






20. 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






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






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






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






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






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






26. ex) dx - dy etc






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






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






29. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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30. 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.






31. 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






32. Input of function






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






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






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






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






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






38. 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






39. 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






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






41. 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






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






43. dy/dx






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






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






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






47. 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






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






49. 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)






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