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






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






3. The process of evaluating an indefinite integral






4. Curve whose points are at a fixed normal distance of a given curve






5. 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






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






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






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






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






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






11. 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






12. 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)






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






14. 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






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






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






17. 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.






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






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






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






21. 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)






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






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






24. 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






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






26. 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






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






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






29. 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






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






31. 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






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






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






34. The smallest y-value of the function






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






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






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






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






39. N(1-r)^x






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






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






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






43. Intervals in which the second derivative is positive






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






45. dy/dx






46. A²=(b²+c²)-2(ab)Cos(A)






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






48. Functions of angles






49. Input of function






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