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






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






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






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






5. Input of function






6. d = v[( x2 - x1)² + (y2 - y1)²]






7. 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






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






9. Dividing an interval into n sub-intervals






10. The function that is integrated in an integral






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






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






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






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






15. ex) dx - dy etc






16. 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






17. dy/dx






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






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






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






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






22. 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






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






24. 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)






25. Intervals in which the second derivative is positive






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






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






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






29. Functions of angles






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






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






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






33. 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)






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






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






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






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






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






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






40. 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.






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






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






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






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






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






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






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






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






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






50. The process of evaluating an indefinite integral