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






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






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






4. Dividing an interval into n sub-intervals






5. The smallest y-value of the function






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






7. A²=(b²+c²)-2(ab)Cos(A)






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






9. A line that divides a figure in half so that each half is the mirror image of the other.






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






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






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






13. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






19. 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.

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20. The process of evaluating an indefinite integral






21. 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






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






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






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






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






26. The function that is integrated in an integral






27. 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






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






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






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






31. 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






32. 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






33. A straight line that is the limiting value of a curve






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






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






36. Two curves that have perpendicular tangents at the point of tangency






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






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






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






40. 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)






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






42. ex) dx - dy etc






43. Input of function






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






45. 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






46. 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))






47. Having the limits or boundaries established






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






49. 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)






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