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






2. The process of evaluating an indefinite integral






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






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






5. The inverse of an eponential function






6. d = v[( x2 - x1)² + (y2 - y1)²]






7. The reciprocal of the sine function






8. N(1-r)^x






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






10. Having the limits or boundaries established






11. Dividing an interval into n sub-intervals






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






13. Functions of angles






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






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






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






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






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






19. 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






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






21. dy/dx






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






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






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






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






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






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






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






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






31. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






32. 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






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






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






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






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






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






38. 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






39. 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)






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






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






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






43. 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






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






45. If there is some number b that is less than or equal to every number in the range of f






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






47. The value of the function at a critical point






48. 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)






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