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






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






3. 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)






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






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






6. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






8. 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






9. Input of function






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






11. Intervals on which the second derivative is negative






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






13. 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






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






15. Dividing an interval into n sub-intervals






16. The inverse of an eponential function






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






18. 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)






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






20. 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






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






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






23. Functions of angles






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






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






26. Having the limits or boundaries established






27. 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)






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






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






30. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






34. 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))






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






36. dy/dx






37. 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






38. ex) dx - dy etc






39. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






40. 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






41. N(1-r)^x






42. Intervals in which the second derivative is positive






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






45. A²=(b²+c²)-2(ab)Cos(A)






46. 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






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






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






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






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