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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. 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.






2. Intervals in which the second derivative is positive






3. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






8. sinA/a=sinB/b=sinC/c






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






10. ex) dx - dy etc






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






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






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






14. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






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






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






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






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






19. 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)






20. The process of evaluating an indefinite integral






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






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






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






24. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






28. The inverse of an eponential function






29. Any value in the domain where either the function is not differentiable or its derivative is 0.






30. 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






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






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






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






34. 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)






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






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






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






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






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






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






41. Input of function






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






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






44. N(1-r)^x






45. 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






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






47. 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






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






49. 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






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