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






2. Having the limits or boundaries established






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






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






5. 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






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






7. The smallest y-value of the function






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






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






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






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






12. A measure of how a function changes as its input changes.






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






14. 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)






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






16. 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






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






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






19. 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)






20. The inverse of an eponential function






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






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






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






24. 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))






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






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






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






28. 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






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






30. If there is some number b that is less than or equal to every number in the range of f






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






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






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






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






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






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






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






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






40. 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






41. 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






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






43. 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






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






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






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






47. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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