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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. The function that is integrated in an integral






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






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






4. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






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






7. 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






8. If there is some number B that is greater than or equal to every number in the range of f






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






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






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






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






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






14. 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






15. 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






16. d = v[( x2 - x1)² + (y2 - y1)²]






17. 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))






18. 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






19. Dividing an interval into n sub-intervals






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






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






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






23. 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)






24. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






25. The smallest y-value of the function






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






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






28. The inverse of an eponential function






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






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






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






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






33. Graph is symmetrical with respect to the y-axis; f(x) = f(-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 function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






36. Input of function






37. 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






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






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






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






41. Functions of angles






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






43. The value of the function at a critical point






44. 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)






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






46. 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






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






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






49. The reciprocal of the sine function






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