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






2. d = v[( x2 - x1)² + (y2 - y1)²]






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






4. Intervals on which the second derivative is negative






5. 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






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






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






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






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






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






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






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






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. A²=(b²+c²)-2(ab)Cos(A)






15. 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)






16. 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)






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






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






19. 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






20. Having the limits or boundaries established






21. Functions of angles






22. 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






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






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






25. The function that is integrated in an integral






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






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






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






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 right-most point of the sub-interval






30. dy/dx






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






32. The value of the function at a critical point






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






34. 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






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






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






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






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






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






40. 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.






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






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






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






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






45. The process of evaluating an indefinite integral






46. 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






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






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






49. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






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