SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
AP Calculus Ab
Start Test
Study First
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 variable occurring in a function - but on which the value of the function does not depend
dummy variable of integration
Total change Theorem
right hand sum
axis of symmetry
2. Input of function
domain
differentiability
amplitude
power series
3. d = v[( x2 - x1)² + (y2 - y1)²]
distance formula
power series
cosecant function
amplitude
4. A function that is continuous at every point on the interval
Antidifferentiation- check
continuity on an interval
amplitude
concave up
5. (geometry)A curve generated by the intersection of a plane or circular cone
local linearity
conic section
logarithmic function
average rate of change
6. 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
Mean Value theorem for derivatives
normal line
Intermediate value theorem
Algebraic function
7. 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
inflection point
natural logarithm
first derivative test
numerical derivative
8. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
bounded above
integration by substitution
complex number
indefinite integral
9. A measure of how a function changes as its input changes.
odd function
derivative
mean value theorem for definite integrals
linear approximation
10. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
constant function
logarithm laws
transcendental function
perpendicular curves
11. A logarithm with the base e - written as ln
natural logarithm
continuity at a point
cosecant function
extreme value theorem
12. A given value of x and f(x) used to find the constant of integration
absolute value
natural logarithm
circular function
initial condition
13. Imaginary line drawn perpendicular to the surface of a mirror or any surface
normal line
Rolle's Theorem
dummy variable of integration
cosecant function
14. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
integrand
piecewise defined function
extreme value theorem
non removable discontinuity
15. An undetermined constant added to every result of integration (the added +c)
Fundamental theorem of calculus
exponential function
conic section
constant of integration
16. If there is some number B that is greater than or equal to every number in the range of f
domain
infinite limit
indefinite integral
bounded above
17. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
differential
removable discontinuity
exponential growth and decay
right hand sum
18. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
order of a derivative
Algebraic function
decay model
19. The limit of f as x approaches c from the right
extreme value theorem
right hand limit
linear approximation
indefinite integral
20. A point that represents the maximum value a function assumes over its domain
derivative
constant of integration
absolute maximum
parameter
21. Selection of a best element from some set of available alternatives.
optimization
Total change Theorem
instantaneous rate of change
transcendental function
22. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
acceleration
parameter
non removable discontinuity
transcendental function
23. Dividing an interval into n sub-intervals
integration by substitution
Rolle's Theorem
partition of an interval
left hand sum
24. The local and global maximums and minimums of a function
logarithm laws
cartesian coordinate system
limit of integration
extremum
25. 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)
mean value theorem for definite integrals
implicit differentiation
Intermediate value theorem
axis of symmetry
26. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
partition of an interval
differentiability
second derivative test
bounded
27. ex) dx - dy etc
indefinite integral
leibniz notation
differential
differential equation
28. Intervals in which the second derivative is positive
law of cosine
natural logarithm
integration by substitution
concave up
29. A function that is continuous on both the left and right side at that point
transcendental function
Mean Value theorem for derivatives
continuity at a point
acceleration
30. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h
absolute minimum
position function
instantaneous velocity
cartesian coordinate system
31. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
odd function
bounded
natural logarithm
complex number
32. A function that can be graphed w/ a line or smooth curve
Radian
bounded
continuous function
exponential growth and decay
33. Ratio between the length of an arc and its radius
Radian
constant of integration
piecewise defined function
constant function
34. Functions of angles
circular function
axis of symmetry
antiderivative
asymptote
35. The maximum distance that the particles of a wave's medium vibrate from their rest position
left hand limit
related rates
normal line
amplitude
36. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
rational function
extremum
antiderivative
continuity on an interval
37. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
antiderivative
conic section
partition of an interval
integration by substitution
38. The reciprocal of the sine function
exponential growth and decay
law of cosine
cosecant function
left hand limit
39. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
asymptote
numerical derivative
parameter
circular function
40. A²=(b²+c²)-2(ab)Cos(A)
parameter
instantaneous rate of change
law of cosine
Mean Value theorem for derivatives
41. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
infinite limit
first derivative test
Algebraic function
endpoint extremum
42. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
cartesian coordinate system
leibniz notation
odd function
first derivative test
43. A limit in which f(x) increases or decreases without bound - as x approaches c
continuous function
infinite limit
differentiation
extreme value theorem
44. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
exponential function
definite integral
order of a derivative
indefinite integral
45. Intervals on which the second derivative is negative
antiderivative
absolute value
inflection point
concave down
46. 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
right hand limit
left hand sum
integration by substitution
Total change Theorem
47. 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
48. The value that a function is approaching as x approaches a given value through values less than x
left hand limit
derivative
concave up
exponential growth and decay
49. 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
odd function
right hand sum
infinite limit
instantaneous velocity
50. A function that is a fixed numerical value for all elements of the domain of the function
Mean Value theorem for derivatives
average rate of change
decay model
constant function