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






2. 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






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






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






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






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






7. ex) dx - dy etc






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






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






10. d = v[( x2 - x1)² + (y2 - y1)²]






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






12. 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)






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. 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






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






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






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






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






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






20. Functions of angles






21. The reciprocal of the sine function






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






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






24. The function that is integrated in an integral






25. 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






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






27. N(1-r)^x






28. A²=(b²+c²)-2(ab)Cos(A)






29. Dividing an interval into n sub-intervals






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






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






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






33. dy/dx






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






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






36. 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)






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






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






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






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






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






42. 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






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






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






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






46. A straight line that is the limiting value of a curve






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






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






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






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.