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






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






3. N(1-r)^x






4. Dividing an interval into n sub-intervals






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






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






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






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






9. 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)






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






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






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






14. The function that is integrated in an integral






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






16. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






21. 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)






22. Having the limits or boundaries established






23. 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






24. 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))






25. A²=(b²+c²)-2(ab)Cos(A)






26. dy/dx






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






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






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






30. 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






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






32. Functions of angles






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






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






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






36. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






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






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






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






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






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






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






43. 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






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






45. The process of evaluating an indefinite integral






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






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






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






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






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