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. 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)
position function
mean value theorem for definite integrals
rational function
linear approximation
2. An undetermined constant added to every result of integration (the added +c)
related rates
root of an equation
constant of integration
implicit differentiation
3. The distance a number is from 0 on a number line
asymptote
Algebraic function
absolute value
inflection point
4. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
complex number
non removable discontinuity
logarithm laws
acceleration
5. Selection of a best element from some set of available alternatives.
Antidifferentiation- check
order of a derivative
transcendental function
optimization
6. 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)
continuity on an interval
numerical derivative
first derivative test
indefinite integral
7. Having the limits or boundaries established
critical value
bounded
asymptote
limit of integration
8. 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
left hand sum
root of an equation
continuous function
axis of symmetry
9. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
piecewise defined function
cartesian coordinate system
definite integral
Algebraic function
10. A point where a function changes concavity; also - where the second derivative changes signs
antiderivative
differential
right hand limit
inflection point
11. 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
12. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
rational function
inflection point
end behavior
13. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
non removable discontinuity
limit of integration
even function
circular function
14. 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
differentiability
exponential growth and decay
perpendicular curves
instantaneous velocity
15. Two curves that have perpendicular tangents at the point of tangency
perpendicular curves
dummy variable of integration
non removable discontinuity
extremum
16. A point that represents the maximum value a function assumes over its domain
odd function
left hand sum
absolute maximum
local linearity
17. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
local linearity
bounded below
constant of integration
exponential function
18. 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
Radian
position function
trapezoidal rule
bounded below
19. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
natural logarithm
amplitude
Algebraic function
even function
20. Amount of change / time it takes (amount of change/ length of interval)
distance formula
average rate of change
asymptote
concave down
21. 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
cross sectional area
antiderivative
rational function
domain
22. The function that is integrated in an integral
integrand
cosecant function
law of cosine
Radian
23. If there is some number B that is greater than or equal to every number in the range of f
bounded above
differential
axis of symmetry
differentiation
24. 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)
limit at infinity
left hand limit
right hand limit
Mean Value theorem for derivatives
25. Curve whose points are at a fixed normal distance of a given curve
parallel curve
average rate of change
cartesian coordinate system
differential equation
26. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
right hand limit
decay model
logarithm laws
amplitude
27. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
indefinite integral
endpoint extremum
Mean Value theorem for derivatives
derivative
28. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
Antidifferentiation- check
parameter
acceleration
absolute maximum
29. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
cartesian coordinate system
leibniz notation
extreme value theorem
implicit differentiation
30. 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
mean value theorem for definite integrals
right hand sum
natural logarithm
bounded above
31. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
conic section
power series
cross sectional area
order of a derivative
32. 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
Rolle's Theorem
inflection point
indefinite integral
related rates
33. (geometry)A curve generated by the intersection of a plane or circular cone
continuity on an interval
bounded above
conic section
Total change Theorem
34. A line that divides a figure in half so that each half is the mirror image of the other.
axis of symmetry
extreme value theorem
law of cosine
difference quotient
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)
mean value theorem for definite integrals
optimization
exponential growth and decay
law of cosine
36. The behavior of the graph of a function as x approaches positive infinity or negative infinity
limit at infinity
optimization
end behavior
normal line
37. A²=(b²+c²)-2(ab)Cos(A)
law of cosine
absolute minimum
concave up
perpendicular curves
38. A limit in which f(x) increases or decreases without bound - as x approaches c
infinite limit
conic section
differentiation
parallel curve
39. 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
first derivative test
amplitude
extremum
position function
40. sinA/a=sinB/b=sinC/c
law of sines
conic section
Mean Value theorem for derivatives
logarithmic function
41. A given value of x and f(x) used to find the constant of integration
initial condition
continuous function
limit of integration
conic section
42. A function that is a fixed numerical value for all elements of the domain of the function
domain
constant function
limit of integration
local linearity
43. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
integration by substitution
exponential growth and decay
numerical derivative
even function
44. Intervals on which the second derivative is negative
initial condition
related rates
concave down
derivative
45. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
law of sines
Total change Theorem
extreme value theorem
leibniz notation
46. d = v[( x2 - x1)² + (y2 - y1)²]
logarithm laws
cosecant function
distance formula
right hand sum
47. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
asymptote
complex number
end behavior
derivative
48. The inverse of an eponential function
left hand sum
logarithmic function
circular function
differentiability
49. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
domain
removable discontinuity
derivative
second derivative test
50. The mathematical process of obtaining the derivative of a function
differentiation
bounded below
removable discontinuity
law of cosine