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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. ex) dx - dy etc






2. 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






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






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






5. 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






6. The function that is integrated in an integral






7. 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






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






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






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






11. The inverse of an eponential function






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






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






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






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






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






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






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






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






23. The reciprocal of the sine function






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






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






26. 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






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






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






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






30. 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






31. Having the limits or boundaries established






32. 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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33. 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






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






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






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






37. Intervals on which the second derivative is negative






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






39. A²=(b²+c²)-2(ab)Cos(A)






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






41. 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))






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






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






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






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






46. N(1-r)^x






47. 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.






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






49. 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






50. 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)