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






2. d = v[( x2 - x1)² + (y2 - y1)²]






3. 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






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






5. The value of the function at a critical point






6. Input of function






7. 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)






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






9. 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






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






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






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






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






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






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






16. Intervals on which the second derivative is negative






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






18. Having the limits or boundaries established






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






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






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






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






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






24. 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






25. 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






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






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






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






29. 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)






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






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






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






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






34. N(1-r)^x






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






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






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






38. ex) dx - dy etc






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






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






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






42. 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






43. Functions of angles






44. The function that is integrated in an integral






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






46. The smallest y-value of the function






47. A function whose domain is divided into several parts and a different function rule is applied to each part






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






49. The inverse of an eponential function






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