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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. Input of function






2. Having the limits or boundaries established






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






4. Intervals on which the second derivative is negative






5. Intervals in which the second derivative is positive






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






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






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






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






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






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






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






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






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






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






16. A function whose domain is divided into several parts and a different function rule is applied to each part






17. Dividing an interval into n sub-intervals






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






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






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






21. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






22. 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






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






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






25. 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.


26. 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






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






28. The process of evaluating an indefinite integral






29. 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)






30. 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)






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






32. The inverse of an eponential function






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






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






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






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






37. N(1-r)^x






38. 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






39. 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






40. The reciprocal of the sine function






41. 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)






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






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






44. The function that is integrated in an integral






45. The value of the function at a critical point






46. 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






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






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






49. ex) dx - dy etc






50. 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