Test your basic knowledge |

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






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






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






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






5. dy/dx






6. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






7. The function that is integrated in an integral






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






9. 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)






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






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






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






13. Dividing an interval into n sub-intervals






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






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






16. 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






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






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






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






20. ex) dx - dy etc






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






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






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






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






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






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






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






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






29. Having the limits or boundaries established






30. 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)






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






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






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






34. N(1-r)^x






35. The process of evaluating an indefinite integral






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






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






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






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






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






41. 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)






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






43. 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






44. 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






45. 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)






46. 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))






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






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






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






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