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






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






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






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






5. N(1-r)^x






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






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






8. 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






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






10. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






11. 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)






12. 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






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






14. Dividing an interval into n sub-intervals






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






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






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






18. 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






19. 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






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






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






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






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






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






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






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






27. ex) dx - dy etc






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






29. 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))






30. The inverse of an eponential function






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






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






33. The process of evaluating an indefinite integral






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






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






36. Functions of angles






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






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






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






40. Intervals on which the second derivative is negative






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






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






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






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






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






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






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






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






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