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






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






3. The inverse of an eponential function






4. 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))






5. N(1-r)^x






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






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






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






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






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






11. 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






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






13. A surface or shape exposed by making a straight cut through something at right angles to the axis.






14. Functions of angles






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






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






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






18. 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






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. 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






21. 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






22. 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






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






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






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






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






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






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






29. Intervals in which the second derivative is positive






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






31. dy/dx






32. 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






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






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






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






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






37. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






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






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






40. 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






41. The process of evaluating an indefinite integral






42. Having the limits or boundaries established






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






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






45. The reciprocal of the sine function






46. The function that is integrated in an integral






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






48. The smallest y-value of the function






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






50. A²=(b²+c²)-2(ab)Cos(A)