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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. N(1-r)^x






2. 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.






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






4. 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






5. 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)






6. The smallest y-value of the function






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






8. ex) dx - dy etc






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






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






11. A logarithm with the base e - written as ln






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






13. 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






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






15. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






19. A²=(b²+c²)-2(ab)Cos(A)






20. The process of evaluating an indefinite integral






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






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






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






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






25. 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.

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26. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






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






29. 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






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






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






32. Intervals on which the second derivative is negative






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






34. 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))






35. 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






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






37. 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






38. The value of the function at a critical point






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






40. 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






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






42. 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)






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






44. 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






45. Input of function






46. Dividing an interval into n sub-intervals






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






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






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






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