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






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






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






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






6. 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






7. Dividing an interval into n sub-intervals






8. 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






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






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






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






12. Functions of angles






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






14. 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)






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






16. A²=(b²+c²)-2(ab)Cos(A)






17. 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.






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






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






20. 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






21. 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






22. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






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






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






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






31. Input of function






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






33. The process of evaluating an indefinite integral






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






35. 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






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






37. The smallest y-value of the function






38. 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))






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






40. 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


41. The reciprocal of the sine function






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






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






44. 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






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






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






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






48. 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)






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






50. 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)







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