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






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






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






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






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






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






7. A²=(b²+c²)-2(ab)Cos(A)






8. A measure of how a function changes as its input changes.






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






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






11. The process of evaluating an indefinite integral






12. Input of function






13. 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






14. 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






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






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






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






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






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






20. Having the limits or boundaries established






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






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






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






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






25. The reciprocal of the sine function






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






27. 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)






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






29. 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)






30. 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






31. 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.


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






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






34. Dividing an interval into n sub-intervals






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






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






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






38. The value of the function at a critical point






39. d = v[( x2 - x1)² + (y2 - y1)²]






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






41. ex) dx - dy etc






42. Two curves that have perpendicular tangents at the point of tangency






43. 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






44. Intervals in which the second derivative is positive






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






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






47. The smallest y-value of the function






48. 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






49. 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






50. 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