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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 function f that gives the position f(t) of a body on a coordinate axis at time t






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






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






4. The inverse of an eponential function






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






6. 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)






7. d = v[( x2 - x1)² + (y2 - y1)²]






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






9. 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






10. The reciprocal of the sine function






11. 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






12. 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.






13. A logarithm with the base e - written as ln






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






15. 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






16. Functions of angles






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






18. N(1-r)^x






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






20. ex) dx - dy etc






21. 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






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






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






24. Intervals in which the second derivative is positive






25. The function that is integrated in an integral






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






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






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






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






30. 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))






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






32. Input of function






33. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






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






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






36. 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






37. 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






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






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






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






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






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






43. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






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






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






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






47. 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)






48. 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)






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






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