Test your basic knowledge |

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. dy/dx






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






3. The maximum distance that the particles of a wave's medium vibrate from their rest position






4. The process of evaluating an indefinite integral






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






6. 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)






7. 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






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






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






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






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






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






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






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






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






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






18. 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






19. Input of function






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






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






22. 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






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






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






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






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






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






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






29. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






32. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






35. 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






36. Intervals in which the second derivative is positive






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






38. 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)






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






40. Having the limits or boundaries established






41. The reciprocal of the sine function






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






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






44. 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






45. N(1-r)^x






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






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






48. The inverse of an eponential function






49. 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






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







Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?


Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests