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






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






3. Having the limits or boundaries established






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






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






6. The smallest y-value of the function






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






8. Intervals in which the second derivative is positive






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






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






11. 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






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






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






14. 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)






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






16. 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))






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






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






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






20. d = v[( x2 - x1)² + (y2 - y1)²]






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






22. 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






23. dy/dx






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






25. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






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






27. Intervals on which the second derivative is negative






28. The reciprocal of the sine function






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






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






31. 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)






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






33. 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






34. Functions of angles






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






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






37. ex) dx - dy etc






38. The function that is integrated in an integral






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






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






41. The value of the function at a critical point






42. Amount of change / time it takes (amount of change/ length of interval)






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






44. The inverse of an eponential function






45. 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






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






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






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






49. 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)






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