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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 whose dependent variable satisfies a polynomial relationship with one or more independent variables






2. The smallest y-value of the function






3. 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)






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






6. 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






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






8. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






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






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






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






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






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






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






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






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






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






18. 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






19. 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)






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






21. 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






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






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






24. 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)






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






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






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






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






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






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






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






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






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






34. The value of the function at a critical point






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






36. A²=(b²+c²)-2(ab)Cos(A)






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






38. Functions of angles






39. 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






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






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






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






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






44. 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.






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






46. N(1-r)^x






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






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






49. Input of function






50. Having the limits or boundaries established