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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. The local and global maximums and minimums of a function






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






3. A²=(b²+c²)-2(ab)Cos(A)






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






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






7. dy/dx






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






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






10. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






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






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






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






15. 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






16. The process of evaluating an indefinite integral






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






18. 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






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






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






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






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






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






24. 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






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






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






28. The smallest y-value of the function






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






30. 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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31. Selection of a best element from some set of available alternatives.






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






33. 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






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






35. Having the limits or boundaries established






36. 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






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






38. 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






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






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






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






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






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






44. 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))






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






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






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






48. 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






49. The inverse of an eponential function






50. N(1-r)^x