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. 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






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






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






4. Input of function






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






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






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






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






10. 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)






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






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






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






14. 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






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






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






17. The reciprocal of the sine function






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






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






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






21. Intervals on which the second derivative is negative






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






23. 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






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






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






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






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






28. 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)






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






30. 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.






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






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






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






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






35. The process of evaluating an indefinite integral






36. 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






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






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






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






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






41. 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






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






43. The inverse of an eponential function






44. The smallest y-value of the function






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






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






47. d = v[( x2 - x1)² + (y2 - y1)²]






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






49. Intervals in which the second derivative is positive






50. Functions of angles