Test your basic knowledge |

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






2. 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






3. 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






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






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






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






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






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






9. 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






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






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






12. Having the limits or boundaries established






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






14. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






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






16. A²=(b²+c²)-2(ab)Cos(A)






17. N(1-r)^x






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






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






20. Functions of angles






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






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






23. 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)






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






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






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






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






29. The smallest y-value of the function






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






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






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






33. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






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






35. 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))






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. dy/dx






38. 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)






39. The process of evaluating an indefinite integral






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






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






42. Ratio between the length of an arc and its radius






43. 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






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






45. 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






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






47. 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






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






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






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