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






2. Having the limits or boundaries established






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






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






5. The value of the function at a critical point






6. 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.






7. The smallest y-value of the function






8. 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






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






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






12. 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






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






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






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






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






17. The inverse of an eponential function






18. 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






19. 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






20. 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






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






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






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






24. 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)






25. 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)






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






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






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






29. 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)






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






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






32. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






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






34. 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))






35. 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






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






37. The process of evaluating an indefinite integral






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






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






40. 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






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






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






43. Input of function






44. Dividing an interval into n sub-intervals






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






46. ex) dx - dy etc






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






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






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






50. A²=(b²+c²)-2(ab)Cos(A)