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. 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)






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






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






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






5. 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






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






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






8. The process of evaluating an indefinite integral






9. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






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






11. 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






12. 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))






13. 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






14. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






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






17. Dividing an interval into n sub-intervals






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






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






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






21. The reciprocal of the sine function






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






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






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






25. Input of function






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






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






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






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






30. Intervals on which the second derivative is negative






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






32. ex) dx - dy etc






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






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






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






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






37. 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






38. d = v[( x2 - x1)² + (y2 - y1)²]






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






40. 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)






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






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






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






44. The value of the function at a critical point






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






46. The function that is integrated in an integral






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






48. The inverse of an eponential function






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






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