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






2. 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)






3. 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






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






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






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






7. The process of evaluating an indefinite integral






8. dy/dx






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






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






11. 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)






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






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






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






15. ex) dx - dy etc






16. 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






17. 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






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






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






20. 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))






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






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






23. 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






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






25. The function that is integrated in an integral






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






27. Having the limits or boundaries established






28. Intervals on which the second derivative is negative






29. N(1-r)^x






30. 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






31. 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)






32. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






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






36. Functions of angles






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






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






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






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






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






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






43. 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






44. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






45. The smallest y-value of the function






46. 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.






47. 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






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






49. Intervals in which the second derivative is positive






50. A function that is continuous on both the left and right side at that point







Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?


Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests