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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 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 left most point of the sub-interval






2. dy/dx






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






4. 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.


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






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






7. Having the limits or boundaries established






8. A given value of x and f(x) used to find the constant of integration






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






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






11. The inverse of an eponential function






12. Ratio between the length of an arc and its radius






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






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






15. 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))






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






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






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






19. 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






20. N(1-r)^x






21. Input of function






22. 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)






23. Intervals on which the second derivative is negative






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






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






26. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






29. 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.






30. A²=(b²+c²)-2(ab)Cos(A)






31. The function that is integrated in an integral






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






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






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






35. 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






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






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






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






39. 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)






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






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






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






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






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






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






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






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






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






49. The value of the function at a critical point






50. 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