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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 re-enforces your understanding as you take the test each time.
1. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
acceleration
even function
related rates
Total change Theorem
2. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
position function
absolute maximum
order of a derivative
cosecant function
3. The value of the function approaches as x increases or decreases without bound
odd function
Fundamental theorem of calculus
instantaneous velocity
limit at infinity
4. 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.
absolute maximum
critical point
non removable discontinuity
endpoint extremum
5. 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)
linear approximation
root of an equation
logarithm laws
end behavior
6. The value that a function is approaching as x approaches a given value through values less than x
normal line
optimization
left hand limit
domain
7. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
absolute maximum
extreme value theorem
removable discontinuity
amplitude
8. Amount of change / time it takes (amount of change/ length of interval)
transcendental function
average rate of change
antiderivative
absolute value
9. If there is some number b that is less than or equal to every number in the range of f
bounded below
numerical derivative
concave up
cartesian coordinate system
10. Intervals on which the second derivative is negative
concave down
position function
bounded below
cosecant function
11. A line that divides a figure in half so that each half is the mirror image of the other.
average rate of change
amplitude
power series
axis of symmetry
12. The value of the function at a critical point
partition of an interval
critical value
exponential growth and decay
power series
13. The distance a number is from 0 on a number line
optimization
linear approximation
natural logarithm
absolute value
14. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
acceleration
circular function
endpoint extremum
rational function
15. 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
complex number
non removable discontinuity
instantaneous rate of change
axis of symmetry
16. 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)
odd function
Fundamental theorem of calculus
Total change Theorem
even function
17. Curve whose points are at a fixed normal distance of a given curve
initial condition
integrand
related rates
parallel curve
18. The maximum distance that the particles of a wave's medium vibrate from their rest position
Radian
right hand limit
extreme value theorem
amplitude
19. The smallest y-value of the function
absolute minimum
Intermediate value theorem
decay model
continuity on an interval
20. 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
Antidifferentiation- check
bounded below
continuity at a point
antiderivative
21. sinA/a=sinB/b=sinC/c
root of an equation
Total change Theorem
dummy variable of integration
law of sines
22. 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
integrable function
differentiability
Intermediate value theorem
complex number
23. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
integrable function
bounded
cosecant function
24. A function that is a fixed numerical value for all elements of the domain of the function
extremum
initial condition
power series
constant function
25. ex) dx - dy etc
optimization
differential
related rates
natural logarithm
26. The function that is integrated in an integral
implicit differentiation
critical point
integration by substitution
integrand
27. A limit in which f(x) increases or decreases without bound - as x approaches c
circular function
integrand
continuous function
infinite limit
28. The behavior of the graph of a function as x approaches positive infinity or negative infinity
end behavior
piecewise defined function
absolute maximum
instantaneous velocity
29. The limit of f as x approaches c from the right
right hand limit
asymptote
instantaneous rate of change
bounded above
30. A²=(b²+c²)-2(ab)Cos(A)
infinite limit
law of cosine
Mean Value theorem for derivatives
concave down
31. If there is some number B that is greater than or equal to every number in the range of f
limit at infinity
extreme value theorem
natural logarithm
bounded above
32. The mathematical process of obtaining the derivative of a function
cross sectional area
transcendental function
dummy variable of integration
differentiation
33. Any value in the domain where either the function is not differentiable or its derivative is 0.
endpoint extremum
bounded above
instantaneous velocity
critical point
34. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
parallel curve
indefinite integral
position function
law of cosine
35. A function that can be graphed w/ a line or smooth curve
exponential function
differentiability
continuous function
extremum
36. A given value of x and f(x) used to find the constant of integration
initial condition
circular function
even function
definite integral
37. 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
parallel curve
bounded below
related rates
integrable function
38. The local and global maximums and minimums of a function
absolute value
difference quotient
extremum
first derivative test
39. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))
local linearity
absolute maximum
bounded above
logarithmic function
40. 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
second derivative test
perpendicular curves
law of cosine
41. The process of evaluating an indefinite integral
complex number
limit at infinity
Antidifferentiation- check
logarithm laws
42. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
leibniz notation
Mean Value theorem for derivatives
constant of integration
integration by substitution
43. Intervals in which the second derivative is positive
concave up
concave down
normal line
cosecant function
44. A straight line that is the limiting value of a curve
asymptote
dummy variable of integration
derivative
non removable discontinuity
45. Functions of angles
differentiability
inflection point
exponential function
circular function
46. An undetermined constant added to every result of integration (the added +c)
critical point
conic section
cosecant function
constant of integration
47. A surface or shape exposed by making a straight cut through something at right angles to the axis.
cross sectional area
law of sines
inflection point
conic section
48. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
initial condition
removable discontinuity
distance formula
conic section
49. 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
left hand limit
derivative
power series
Intermediate value theorem
50. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
bounded below
first derivative test
implicit differentiation
differentiation