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






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






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






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






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






6. 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






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






8. ex) dx - dy etc






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






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






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






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






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






14. 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






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






16. The function that is integrated in an integral






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






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






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






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






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






22. 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






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






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






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






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






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






28. Having the limits or boundaries established






29. Input of function






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






31. 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






32. Dividing an interval into n sub-intervals






33. 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


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






35. A variable occurring in a function - but on which the value of the function does not depend






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






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






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






39. d = v[( x2 - x1)² + (y2 - y1)²]






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






41. 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






42. 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)






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






44. 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))






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






46. A²=(b²+c²)-2(ab)Cos(A)






47. 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)






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






49. The smallest y-value of the function






50. 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