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 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






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






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






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






5. 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






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






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






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






10. Dividing an interval into n sub-intervals






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






12. dy/dx






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






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






15. ex) dx - dy etc






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






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






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






19. 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)






20. Intervals in which the second derivative is positive






21. The smallest y-value of the function






22. 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


23. 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






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






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






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






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






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






29. 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))






30. 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






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






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






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






34. Functions of angles






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






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






37. 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






38. Having the limits or boundaries established






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






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






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






42. Input of function






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






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






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






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






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






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






49. 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






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