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 logarithm with the base e - written as ln
bounded below
continuity at a point
natural logarithm
optimization
2. 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
integration by substitution
parallel curve
mean value theorem for definite integrals
left hand sum
3. Amount of change / time it takes (amount of change/ length of interval)
bounded below
average rate of change
absolute maximum
acceleration
4. A point where a function changes concavity; also - where the second derivative changes signs
parameter
average rate of change
right hand limit
inflection point
5. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
asymptote
decay model
even function
Mean Value theorem for derivatives
6. A function that is a fixed numerical value for all elements of the domain of the function
concave down
bounded above
constant function
average rate of change
7. dy/dx
antiderivative
bounded below
leibniz notation
numerical derivative
8. 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
antiderivative
right hand limit
amplitude
trapezoidal rule
9. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
cosecant function
integration by substitution
exponential growth and decay
odd function
10. A function whose domain is divided into several parts and a different function rule is applied to each part
indefinite integral
piecewise defined function
antiderivative
logarithmic function
11. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
normal line
definite integral
continuity on an interval
power series
12. 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)
acceleration
Fundamental theorem of calculus
critical point
mean value theorem for definite integrals
13. The mathematical process of obtaining the derivative of a function
cartesian coordinate system
differentiation
parameter
right hand sum
14. The process of evaluating an indefinite integral
optimization
Antidifferentiation- check
bounded above
even function
15. 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
law of sines
Total change Theorem
optimization
second derivative test
16. 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.
Antidifferentiation- check
bounded below
non removable discontinuity
circular function
17. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
Intermediate value theorem
average rate of change
Algebraic function
exponential function
18. A limit in which f(x) increases or decreases without bound - as x approaches c
exponential growth and decay
infinite limit
law of sines
differentiability
19. The value of the function at a critical point
critical value
local linearity
Fundamental theorem of calculus
instantaneous rate of change
20. (geometry)A curve generated by the intersection of a plane or circular cone
parameter
cross sectional area
root of an equation
conic section
21. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
removable discontinuity
differentiability
difference quotient
Total change Theorem
22. The local and global maximums and minimums of a function
parameter
concave down
instantaneous velocity
extremum
23. 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
Intermediate value theorem
transcendental function
Mean Value theorem for derivatives
cosecant function
24. Two curves that have perpendicular tangents at the point of tangency
endpoint extremum
piecewise defined function
perpendicular curves
cosecant function
25. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum
trapezoidal rule
Intermediate value theorem
concave down
infinite limit
26. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
continuous function
amplitude
differential equation
non removable discontinuity
27. 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)
conic section
right hand limit
linear approximation
Fundamental theorem of calculus
28. Input of function
right hand limit
conic section
domain
mean value theorem for definite integrals
29. Having the limits or boundaries established
trapezoidal rule
limit at infinity
right hand limit
bounded
30. If there is some number b that is less than or equal to every number in the range of f
natural logarithm
bounded below
parameter
integration by substitution
31. A function that can be graphed w/ a line or smooth curve
Rolle's Theorem
limit of integration
indefinite integral
continuous function
32. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
law of sines
acceleration
left hand sum
first derivative test
33. A function that is continuous on both the left and right side at that point
related rates
exponential function
decay model
continuity at a point
34. The value that a function is approaching as x approaches a given value through values less than x
differentiation
average rate of change
leibniz notation
left hand limit
35. 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)
Antidifferentiation- check
circular function
mean value theorem for definite integrals
Fundamental theorem of calculus
36. A surface or shape exposed by making a straight cut through something at right angles to the axis.
amplitude
trapezoidal rule
cross sectional area
cartesian coordinate system
37. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
acceleration
power series
definite integral
natural logarithm
38. 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
instantaneous velocity
Rolle's Theorem
leibniz notation
differentiability
39. The maximum distance that the particles of a wave's medium vibrate from their rest position
implicit differentiation
domain
critical point
amplitude
40. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
rational function
extreme value theorem
mean value theorem for definite integrals
parameter
41. Any value in the domain where either the function is not differentiable or its derivative is 0.
critical point
acceleration
piecewise defined function
left hand limit
42. The smallest y-value of the function
absolute minimum
integration by substitution
continuity on an interval
critical value
43. 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
cross sectional area
continuous function
Algebraic function
differentiability
44. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
absolute maximum
critical value
integration by substitution
removable discontinuity
45. 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
46. A straight line that is the limiting value of a curve
critical point
odd function
right hand sum
asymptote
47. 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)
cartesian coordinate system
numerical derivative
constant function
bounded below
48. Curve whose points are at a fixed normal distance of a given curve
parallel curve
differential
constant function
differentiation
49. 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)
absolute value
exponential function
Total change Theorem
Mean Value theorem for derivatives
50. A measure of how a function changes as its input changes.
differentiability
law of sines
antiderivative
derivative