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






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






3. 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






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






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






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






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






8. Functions of angles






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






10. 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






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






12. 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






13. Intervals on which the second derivative is negative






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






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






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






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






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






19. Having the limits or boundaries established






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






21. A²=(b²+c²)-2(ab)Cos(A)






22. The function that is integrated in an integral






23. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






24. Dividing an interval into n sub-intervals






25. 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






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






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






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






29. The smallest y-value of the function






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






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






32. 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






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






34. 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)






35. dy/dx






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






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






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






39. 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


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






41. N(1-r)^x






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






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






44. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.






45. 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






46. 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






47. 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






48. 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






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






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







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