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






2. 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






3. The process of evaluating an indefinite integral






4. 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)






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






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






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






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






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






11. 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






12. ex) dx - dy etc






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






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






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






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






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






18. d = v[( x2 - x1)² + (y2 - y1)²]






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






20. 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)






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






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






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






24. 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






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






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






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






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






29. 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






30. 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






31. The inverse of an eponential function






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






33. 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)






34. The smallest y-value of the function






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






36. The value of the function at a critical point






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






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






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






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






41. 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






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






43. 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))






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






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






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






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






48. Intervals on which the second derivative is negative






49. N(1-r)^x






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