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






2. 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)






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






4. N(1-r)^x






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






6. 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






7. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






11. 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






12. The reciprocal of the sine function






13. 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






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






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






16. Functions of angles






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






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






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






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






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






22. ex) dx - dy etc






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






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






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






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






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






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






29. 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)






30. The smallest y-value of the function






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






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. Input of function






34. The mathematical process of obtaining the derivative of a function






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






36. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






37. Intervals on which the second derivative is negative






38. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






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






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






42. 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






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






44. 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






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






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






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






48. 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






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






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