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






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






3. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






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






5. Intervals on which the second derivative is negative






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






7. The function that is integrated in an integral






8. 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






9. Dividing an interval into n sub-intervals






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






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






12. d = v[( x2 - x1)² + (y2 - y1)²]






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






14. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






15. Intervals in which the second derivative is positive






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






17. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






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






19. 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






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






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






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






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






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






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






26. 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






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






28. dy/dx






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






30. Input of function






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






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






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






34. The inverse of an eponential function






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






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






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






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






39. The mathematical process of obtaining the derivative of a function






40. The reciprocal of the sine function






41. 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






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






43. 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


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






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






46. 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)






47. ex) dx - dy etc






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






49. 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






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