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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 reenforces your understanding as you take the test each time.
1. The limit of f as x approaches c from the right
parallel curve
antiderivative
right hand limit
axis of symmetry
2. A given value of x and f(x) used to find the constant of integration
distance formula
law of sines
initial condition
cosecant function
3. 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
related rates
asymptote
parameter
local linearity
4. The local and global maximums and minimums of a function
rational function
Fundamental theorem of calculus
order of a derivative
extremum
5. Any value in the domain where either the function is not differentiable or its derivative is 0.
exponential growth and decay
critical point
concave up
removable discontinuity
6. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
inflection point
Fundamental theorem of calculus
bounded
7. 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.
8. A measure of how a function changes as its input changes.
instantaneous velocity
absolute maximum
exponential function
derivative
9. The inverse of an eponential function
conic section
decay model
asymptote
logarithmic function
10. A function that is continuous at every point on the interval
related rates
continuity on an interval
removable discontinuity
linear approximation
11. 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
antiderivative
concave up
parallel curve
trapezoidal rule
12. A function that possesses a finite integral; the function must be continuous on the interval of integration
numerical derivative
integrable function
Intermediate value theorem
endpoint extremum
13. Function e^x  where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
extremum
implicit differentiation
critical point
exponential function
14. The value of the function at a critical point
critical value
non removable discontinuity
Mean Value theorem for derivatives
extremum
15. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
Fundamental theorem of calculus
root of an equation
differentiation
second derivative test
16. A logarithm with the base e  written as ln
exponential function
Radian
natural logarithm
concave down
17. The function that is integrated in an integral
odd function
integrand
position function
domain
18. A function that is continuous on both the left and right side at that point
definite integral
continuity at a point
optimization
related rates
19. A point where a function changes concavity; also  where the second derivative changes signs
numerical derivative
instantaneous velocity
inflection point
non removable discontinuity
20. Amount of change / time it takes (amount of change/ length of interval)
extremum
average rate of change
bounded above
conic section
21. An integral without any specific limits  whose solution includes an undetermined constant c; antiderivative
cosecant function
critical value
continuity on an interval
indefinite integral
22. An undetermined constant added to every result of integration (the added +c)
dummy variable of integration
cartesian coordinate system
constant of integration
natural logarithm
23. 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
parameter
differentiability
Mean Value theorem for derivatives
absolute value
24. The process of evaluating an indefinite integral
limit of integration
Radian
linear approximation
Antidifferentiation check
25. logb mn = logbm + logb n  logb m/n = logb m  logb n  logb mn = n logb m  logb b = 1  logb 1 = 0
perpendicular curves
natural logarithm
Mean Value theorem for derivatives
logarithm laws
26. A variable occurring in a function  but on which the value of the function does not depend
average rate of change
dummy variable of integration
implicit differentiation
limit at infinity
27. The maximum distance that the particles of a wave's medium vibrate from their rest position
Mean Value theorem for derivatives
concave down
concave up
amplitude
28. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
indefinite integral
law of cosine
endpoint extremum
odd function
29. 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)
numerical derivative
law of sines
differential equation
partition of an interval
30. The value of the function approaches as x increases or decreases without bound
domain
linear approximation
limit at infinity
infinite limit
31. 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)]/(ba)
instantaneous velocity
mean value theorem for definite integrals
Mean Value theorem for derivatives
complex number
32. Curve whose points are at a fixed normal distance of a given curve
local linearity
parallel curve
natural logarithm
limit at infinity
33. If y is a function of x  y' = dy is the first order  or first  derivative of y with dx respect to x
continuous function
order of a derivative
odd function
differentiation
34. The reciprocal of the sine function
Total change Theorem
cosecant function
piecewise defined function
Rolle's Theorem
35. Dividing an interval into n subintervals
position function
circular function
partition of an interval
optimization
36. sinA/a=sinB/b=sinC/c
differential equation
Rolle's Theorem
law of sines
related rates
37. Functions of angles
Rolle's Theorem
circular function
critical point
numerical derivative
38. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
removable discontinuity
constant of integration
related rates
parameter
39. A method of representing the location of a point using an ordered pair of real numbers of the form (x y)
cartesian coordinate system
limit of integration
odd function
continuity at a point
40. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
decay model
numerical derivative
inflection point
integration by substitution
41. N(1r)^x
decay model
perpendicular curves
acceleration
rational function
42. Decay: y=ab^x where a >0 and 0<b<1  Growth: y=ab^x where a>0 and b>1
initial condition
exponential growth and decay
power series
differentiability
43. A basic definition in calculus f(x+h)f(x)/h h doesn't equal 0
instantaneous rate of change
difference quotient
order of a derivative
continuous function
44. Ratio between the length of an arc and its radius
Intermediate value theorem
Radian
continuity on an interval
Fundamental theorem of calculus
45. If f is continuous on [a b] then at some point  c in [a b]  f(c)= (1/(ab))*?f(x)dx (with bounds a b)
mean value theorem for definite integrals
normal line
end behavior
piecewise defined function
46. If there is some number B that is greater than or equal to every number in the range of f
linear approximation
exponential function
indefinite integral
bounded above
47. 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)
Fundamental theorem of calculus
concave up
law of sines
indefinite integral
48. Series from n=0 to infinity of c_n(xa)^n where a is it's center and c_n is a coefficient.
power series
integration by substitution
piecewise defined function
continuity on an interval
49. Graph is symmetrical with respect to the origin; f(x)=f(x)
right hand limit
exponential function
Mean Value theorem for derivatives
odd function
50. (geometry)A curve generated by the intersection of a plane or circular cone
conic section
Radian
power series
Fundamental theorem of calculus