Test your basic knowledge |

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






2. Intervals in which the second derivative is positive






3. 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






4. 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)






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






6. Dividing an interval into n sub-intervals






7. 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






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






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






10. 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.






11. 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






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






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






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






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






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






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






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






19. The reciprocal of the sine function






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






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






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






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






24. ex) dx - dy etc






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






26. 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)






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






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






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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


30. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






31. 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)






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






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 left most point of the sub-interval






34. 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






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






36. The function that is integrated in an integral






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






38. 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)






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






40. The process of evaluating an indefinite integral






41. dy/dx






42. The value of the function at a critical point






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






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






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






46. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






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






48. 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






49. Input of function






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