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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 rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the right-most point of the sub-interval






2. 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






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






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






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






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






7. 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)






8. Input of function






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






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






11. Intervals in which the second derivative is positive






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






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






14. dy/dx






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






16. A function that can be graphed w/ a line or smooth curve






17. 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






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






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






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






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






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






23. Dividing an interval into n sub-intervals






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






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






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






27. 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






28. 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






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






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






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






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






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






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






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






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






37. The inverse of an eponential function






38. Intervals on which the second derivative is negative






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






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






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






42. N(1-r)^x






43. 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






44. 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






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






46. A²=(b²+c²)-2(ab)Cos(A)






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






48. Functions of angles






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






50. 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)