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






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






3. 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)






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






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






6. 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






7. 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.






8. Intervals on which the second derivative is negative






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






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






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






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






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






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






15. 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)






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






17. 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)






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






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






20. 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






21. 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)






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






23. A²=(b²+c²)-2(ab)Cos(A)






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






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






26. dy/dx






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






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






29. The inverse of an eponential function






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






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






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






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






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






35. Input of function






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






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






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






39. Having the limits or boundaries established






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






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






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






43. 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






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






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






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






47. The value of the function at a critical point






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






49. 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






50. The function that is integrated in an integral