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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. The mathematical process of obtaining the derivative of a function






2. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






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






4. Intervals in which the second derivative is positive






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






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






7. dy/dx






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






10. The smallest y-value of the function






11. The value of the function at a critical point






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






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






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






15. Selection of a best element from some set of available alternatives.






16. 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






17. The process of evaluating an indefinite integral






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






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






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






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






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






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






24. 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.






25. 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






26. The inverse of an eponential function






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






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






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






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






31. N(1-r)^x






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






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






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






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






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






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






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






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






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






42. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






46. ex) dx - dy etc






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






48. Having the limits or boundaries established






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






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