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






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






3. 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






4. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






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






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






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






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






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






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






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






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






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






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






15. Dividing an interval into n sub-intervals






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






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






18. Two curves that have perpendicular tangents at the point of tangency






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






20. ex) dx - dy etc






21. Input of function






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






23. 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






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






25. 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)






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






27. A²=(b²+c²)-2(ab)Cos(A)






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






29. 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






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






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






32. 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))






33. d = v[( x2 - x1)² + (y2 - y1)²]






34. The function that is integrated in an integral






35. The inverse of an eponential function






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






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






38. Functions of angles






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






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






41. 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 left most point of the sub-interval






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






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






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






45. A straight line that is the limiting value of a curve






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






47. Having the limits or boundaries established






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






49. 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






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