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. 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


2. The value of the function at a critical point






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






4. Intervals on which the second derivative is negative






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






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






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






8. The function that is integrated in an integral






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






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






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






12. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






18. 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






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






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






21. The smallest y-value of the function






22. ex) dx - dy etc






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






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






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






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






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






28. 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






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






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






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






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






33. 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)






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






35. 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






36. A²=(b²+c²)-2(ab)Cos(A)






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






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. 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






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






41. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






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






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






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






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






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






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






48. Intervals in which the second derivative is positive






49. 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.






50. 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)