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






2. 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)






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






4. Dividing an interval into n sub-intervals






5. 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






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






7. Input of function






8. Having the limits or boundaries established






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






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






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






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






13. ex) dx - dy etc






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






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






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






17. 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)






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






19. 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






20. 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






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






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






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






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






25. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






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






28. The process of evaluating an indefinite integral






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






30. 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






31. The reciprocal of the sine function






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






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






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






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






36. N(1-r)^x






37. 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






38. 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






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






40. The smallest y-value of the function






41. The inverse of an eponential function






42. 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






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






44. dy/dx






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






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






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






48. The value of the function at a critical point






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






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