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






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






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






4. Input of function






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






6. The value of the function at a critical point






7. 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






8. 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))






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






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






11. The process of evaluating an indefinite integral






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






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






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






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






16. d = v[( x2 - x1)² + (y2 - y1)²]






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






18. The function that is integrated in an integral






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






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






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






22. Intervals in which the second derivative is positive






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






24. 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






25. 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)






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






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






28. 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






29. N(1-r)^x






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






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






32. The inverse of an eponential function






33. 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)






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






35. 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)






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






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






38. Dividing an interval into n sub-intervals






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






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






41. 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






42. 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






43. The reciprocal of the sine function






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






45. ex) dx - dy etc






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






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






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






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






50. 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