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






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






3. N(1-r)^x






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






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






6. 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 left most point of the sub-interval






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






8. d = v[( x2 - x1)² + (y2 - y1)²]






9. The inverse of an eponential function






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






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






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






14. 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






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






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






17. 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






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






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






20. Dividing an interval into n sub-intervals






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. 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






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






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






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






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






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






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






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






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






31. Intervals on which the second derivative is negative






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






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






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






35. Having the limits or boundaries established






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






37. 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)






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






39. ex) dx - dy etc






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






41. 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)






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






43. dy/dx






44. 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






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






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






47. 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






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






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






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