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






3. 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)






4. The smallest y-value of the function






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






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






7. 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)






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






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






11. N(1-r)^x






12. Input of function






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






14. Intervals on which the second derivative is negative






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






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






17. Intervals in which the second derivative is positive






18. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






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






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






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






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






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






24. 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






25. ex) dx - dy etc






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






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






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






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






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






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






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






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






34. The process of evaluating an indefinite integral






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






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






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






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






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






40. 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






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






42. The value of the function at a critical point






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






44. A²=(b²+c²)-2(ab)Cos(A)






45. 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






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






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






48. d = v[( x2 - x1)² + (y2 - y1)²]






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






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