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






2. The reciprocal of the sine function






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






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






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






6. The smallest y-value of the function






7. 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






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






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






10. 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)






11. Dividing an interval into n sub-intervals






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






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






14. The mathematical process of obtaining the derivative of a function






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






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






17. dy/dx






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






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






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






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






22. The inverse of an eponential function






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






24. ex) dx - dy etc






25. 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






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






27. Two curves that have perpendicular tangents at the point of tangency






28. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






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






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






31. 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)






32. 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






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






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






35. Functions of angles






36. A straight line that is the limiting value of a curve






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






38. 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






39. 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






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






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






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. 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






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






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






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. The function that is integrated in an integral






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






50. 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)