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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. Selection of a best element from some set of available alternatives.
optimization
integrable function
removable discontinuity
Fundamental theorem of calculus
2. Two curves that have perpendicular tangents at the point of tangency
distance formula
perpendicular curves
limit at infinity
law of cosine
3. 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
exponential function
continuity on an interval
differentiability
differential
4. An undetermined constant added to every result of integration (the added +c)
absolute maximum
law of cosine
constant of integration
antiderivative
5. A variable occurring in a function - but on which the value of the function does not depend
parallel curve
logarithm laws
dummy variable of integration
first derivative test
6. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
exponential function
right hand limit
local linearity
absolute value
7. A point that represents the maximum value a function assumes over its domain
linear approximation
absolute maximum
first derivative test
even function
8. 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
Radian
conic section
related rates
natural logarithm
9. 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
acceleration
antiderivative
transcendental function
first derivative test
10. A limit in which f(x) increases or decreases without bound - as x approaches c
bounded
infinite limit
decay model
complex number
11. The local and global maximums and minimums of a function
natural logarithm
extremum
Total change Theorem
odd function
12. ex) dx - dy etc
limit at infinity
Rolle's Theorem
differential
bounded
13. If there is some number B that is greater than or equal to every number in the range of f
leibniz notation
instantaneous velocity
integrand
bounded above
14. 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)
logarithmic function
Fundamental theorem of calculus
Antidifferentiation- check
critical point
15. A line that divides a figure in half so that each half is the mirror image of the other.
integrand
even function
axis of symmetry
extremum
16. A function that is continuous at every point on the interval
inflection point
continuity on an interval
logarithm laws
complex number
17. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
even function
parallel curve
cosecant function
cartesian coordinate system
18. If there is some number b that is less than or equal to every number in the range of f
bounded below
dummy variable of integration
numerical derivative
limit at infinity
19. Intervals on which the second derivative is negative
local linearity
removable discontinuity
law of sines
concave down
20. 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
Total change Theorem
even function
trapezoidal rule
Fundamental theorem of calculus
21. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
parallel curve
Radian
cross sectional area
order of a derivative
22. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
logarithmic function
Algebraic function
differentiability
implicit differentiation
23. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
endpoint extremum
complex number
order of a derivative
Intermediate value theorem
24. A function that is continuous on both the left and right side at that point
removable discontinuity
parameter
continuity at a point
bounded
25. The value of the function at a critical point
critical value
implicit differentiation
law of sines
inflection point
26. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
second derivative test
Algebraic function
concave up
differentiability
27. The value of the function approaches as x increases or decreases without bound
differential equation
amplitude
piecewise defined function
limit at infinity
28. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
differential equation
bounded below
parameter
derivative
29. A function whose domain is divided into several parts and a different function rule is applied to each part
piecewise defined function
antiderivative
cosecant function
left hand limit
30. 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.
differentiation
end behavior
non removable discontinuity
rational function
31. The process of evaluating an indefinite integral
constant of integration
Antidifferentiation- check
cartesian coordinate system
law of sines
32. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
continuous function
derivative
transcendental function
Fundamental theorem of calculus
33. The reciprocal of the sine function
partition of an interval
Fundamental theorem of calculus
average rate of change
cosecant function
34. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
natural logarithm
absolute minimum
bounded below
indefinite integral
35. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
even function
integration by substitution
logarithmic function
constant function
36. dy/dx
decay model
leibniz notation
partition of an interval
right hand sum
37. A straight line that is the limiting value of a curve
partition of an interval
even function
amplitude
asymptote
38. The maximum distance that the particles of a wave's medium vibrate from their rest position
transcendental function
Total change Theorem
critical value
amplitude
39. Functions of angles
asymptote
limit of integration
end behavior
circular function
40. 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.
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41. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
difference quotient
removable discontinuity
derivative
parallel curve
42. A point where a function changes concavity; also - where the second derivative changes signs
Fundamental theorem of calculus
integration by substitution
inflection point
differentiation
43. A measure of how a function changes as its input changes.
absolute value
derivative
piecewise defined function
optimization
44. Having the limits or boundaries established
mean value theorem for definite integrals
implicit differentiation
bounded
perpendicular curves
45. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph
parameter
Intermediate value theorem
infinite limit
root of an equation
46. The smallest y-value of the function
extremum
absolute minimum
differential equation
axis of symmetry
47. 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)
cosecant function
Mean Value theorem for derivatives
domain
non removable discontinuity
48. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
differential equation
instantaneous rate of change
removable discontinuity
Total change Theorem
49. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
logarithm laws
Radian
bounded
axis of symmetry
50. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
concave down
average rate of change
extreme value theorem
constant function
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