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






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






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






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






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






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






7. The limit of f as x approaches c from the right






8. Intervals on which the second derivative is negative






9. 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.






10. 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))






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






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






13. The value of the function at a critical point






14. 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






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






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






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






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






19. 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






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






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






22. The inverse of an eponential function






23. 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


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






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






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






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






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






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






30. 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






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






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






33. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






37. ex) dx - dy etc






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






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






40. 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






41. A function that is continuous on both the left and right side at that point






42. Functions of angles






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






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






45. 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






46. 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)






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






49. dy/dx






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