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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 that is continuous at every point on the interval






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






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






4. 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






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






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






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






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






9. 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))






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






11. 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






12. 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)






13. Functions of angles






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






15. 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.






16. Intervals on which the second derivative is negative






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






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






19. The value of the function at a critical point






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






21. 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






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






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






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






25. 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






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






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






28. 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)






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






30. The function that is integrated in an integral






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






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






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






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






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






36. Dividing an interval into n sub-intervals






37. 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






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






39. The process of evaluating an indefinite integral






40. 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






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






42. 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






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






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






45. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






46. (geometry)A curve generated by the intersection of a plane or circular cone






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






48. If there is some number B that is greater than or equal to every number in the range of f






49. 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






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