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






2. The inverse of an eponential function






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






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






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






6. 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






7. A point that represents the maximum value a function assumes over its domain






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






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






10. N(1-r)^x






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






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






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






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






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






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






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






18. 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)






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






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






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






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






23. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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






25. Dividing an interval into n sub-intervals






26. Having the limits or boundaries established






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






28. Functions of angles






29. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






31. Input of function






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






33. 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)






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






35. 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






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






37. ex) dx - dy etc






38. 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)






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






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






41. 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))






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






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






44. 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






45. 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






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






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






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






50. The process of evaluating an indefinite integral