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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 logarithm with the base e - written as ln






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






3. 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)






4. 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)






5. Input of function






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






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






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






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






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






11. 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






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






13. 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






14. 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))






15. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)






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






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






18. ex) dx - dy etc






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






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






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






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






23. 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






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






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






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






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






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






29. 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)






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






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






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






33. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






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






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






40. Having the limits or boundaries established






41. The smallest y-value of the function






42. 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






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






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






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






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






47. d = v[( x2 - x1)² + (y2 - y1)²]






48. The value of the function at a critical point






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






50. Functions of angles