Test your basic knowledge |

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






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






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






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






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






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






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






9. N(1-r)^x






10. The function that is integrated in an integral






11. Input of function






12. 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






13. If there is some number B that is greater than or equal to every number in the range of f






14. The value of the function at a critical point






15. Having the limits or boundaries established






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






17. 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)






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






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






20. ex) dx - dy etc






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






22. 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






23. 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)






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






25. dy/dx






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






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






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






29. Intervals on which the second derivative is negative






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






31. 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






32. 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






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






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






35. 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






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






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






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






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






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






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






42. The reciprocal of the sine function






43. The process of evaluating an indefinite integral






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






45. 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






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






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






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






49. 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






50. 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