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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. 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






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






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






4. 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






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






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






7. 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






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






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






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






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






12. Functions of angles






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






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






15. The reciprocal of the sine function






16. If there is some number b that is less than or equal to every number in the range of f






17. 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






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






19. 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)






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






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






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






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






24. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






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






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






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






33. 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)






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






35. 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






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






37. Graph is symmetrical with respect to the origin; f(-x)=-f(x)






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






39. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






40. 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)






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






42. 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))






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






44. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






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






46. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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47. N(1-r)^x






48. 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






49. The inverse of an eponential function






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