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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. Dividing an interval into n sub-intervals






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






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






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






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






6. 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






7. 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)






8. 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






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






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






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






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






13. A²=(b²+c²)-2(ab)Cos(A)






14. Functions of angles






15. 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






16. 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)






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






18. 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))






19. The value of the function at a critical point






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






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






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






23. Having the limits or boundaries established






24. dy/dx






25. The inverse of an eponential function






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






27. 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)






28. 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






29. Intervals in which the second derivative is positive






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






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






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






33. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






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






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






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






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






38. 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






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






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






41. The smallest y-value of the function






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






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






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






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






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






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






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






49. The function that is integrated in an integral






50. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.