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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. 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






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






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






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






5. 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






6. The function that is integrated in an integral






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






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






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






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. 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






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






13. 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






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






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






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






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






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






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






20. The process of evaluating an indefinite integral






21. Input of function






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






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






24. Having the limits or boundaries established






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






26. 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)






27. 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






28. 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






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






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






31. 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))






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






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






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






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






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






37. 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






38. N(1-r)^x






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






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






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






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






43. 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






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






45. 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)






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






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






48. Dividing an interval into n sub-intervals






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






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