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






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






3. Intervals in which the second derivative is positive






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






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






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






7. The inverse of an eponential function






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






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






10. 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






11. 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))






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






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






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






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






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






17. 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)






18. 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)






19. 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)






20. 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






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






22. The smallest y-value of the function






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






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






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






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






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






28. Functions of angles






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






30. Intervals on which the second derivative is negative






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






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






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






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






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






36. N(1-r)^x






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






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






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






40. The value of the function at a critical point






41. 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)






42. 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






43. 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






44. 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)






45. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






46. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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







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