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 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






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






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






4. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






5. 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))






6. 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


7. Dividing an interval into n sub-intervals






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






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






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






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






12. 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






13. The process of evaluating an indefinite integral






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






15. The smallest y-value of the function






16. 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






17. 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)






18. 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






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






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






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






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






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






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






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






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






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






28. 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






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






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






31. 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)






32. 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.






33. d = v[( x2 - x1)² + (y2 - y1)²]






34. 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






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






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






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






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






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






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






41. Functions of angles






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






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






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. 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






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






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






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






49. 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)






50. N(1-r)^x







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