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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. 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






2. 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






3. ex) dx - dy etc






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






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






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






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






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






9. 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)






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






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






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






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






14. 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






15. 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.


16. 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






17. 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






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






19. The reciprocal of the sine function






20. Input of function






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






22. 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.






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






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






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






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






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






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






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






30. Having the limits or boundaries established






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






32. 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






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






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






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






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






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






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






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






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






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






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






43. dy/dx






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






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






46. Dividing an interval into n sub-intervals






47. The mathematical process of obtaining the derivative of a function






48. d = v[( x2 - x1)² + (y2 - y1)²]






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






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