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






2. 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






3. 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






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 left most point of the sub-interval






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






6. 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


7. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






8. The smallest y-value of the function






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






11. 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






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






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






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






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






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






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






18. Functions of angles






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






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






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






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






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






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






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






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






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






28. Intervals in which the second derivative is positive






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






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






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






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






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






34. 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.






35. The process of evaluating an indefinite integral






36. 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






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






38. The inverse of an eponential function






39. Input of function






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






41. Intervals on which the second derivative is negative






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






43. N(1-r)^x






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






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






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






47. 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)






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






49. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






50. Either of the endpoints of an interval over which a definite integral is to be evaluated