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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. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
Algebraic function
cartesian coordinate system
root of an equation
instantaneous rate of change
2. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
conic section
critical point
cartesian coordinate system
linear approximation
3. N(1-r)^x
numerical derivative
cosecant function
decay model
derivative
4. The mathematical process of obtaining the derivative of a function
logarithmic function
limit of integration
Rolle's Theorem
differentiation
5. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
extreme value theorem
linear approximation
Fundamental theorem of calculus
bounded
6. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
differential
differentiation
power series
concave up
7. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
definite integral
even function
Fundamental theorem of calculus
non removable discontinuity
8. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
derivative
circular function
definite integral
continuous function
9. A function that can be graphed w/ a line or smooth curve
continuous function
left hand sum
logarithm laws
parameter
10. Selection of a best element from some set of available alternatives.
exponential growth and decay
absolute value
optimization
integrand
11. The process of evaluating an indefinite integral
transcendental function
average rate of change
Antidifferentiation- check
numerical derivative
12. The maximum distance that the particles of a wave's medium vibrate from their rest position
amplitude
infinite limit
cosecant function
parallel curve
13. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
trapezoidal rule
antiderivative
leibniz notation
differential equation
14. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
circular function
position function
logarithm laws
Antidifferentiation- check
15. The function that is integrated in an integral
partition of an interval
integrand
end behavior
concave down
16. 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
cross sectional area
instantaneous velocity
logarithm laws
trapezoidal rule
17. 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
natural logarithm
absolute value
infinite limit
18. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
order of a derivative
integration by substitution
continuity on an interval
second derivative test
19. A function that is continuous on both the left and right side at that point
continuity at a point
definite integral
mean value theorem for definite integrals
absolute maximum
20. Having the limits or boundaries established
normal line
bounded
even function
right hand limit
21. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
normal line
constant function
second derivative test
integration by substitution
22. A function that is a fixed numerical value for all elements of the domain of the function
constant function
linear approximation
parameter
bounded below
23. Functions of angles
odd function
cosecant function
circular function
concave up
24. Ratio between the length of an arc and its radius
Algebraic function
perpendicular curves
Radian
first derivative test
25. The value of the function approaches as x increases or decreases without bound
endpoint extremum
limit at infinity
instantaneous velocity
Rolle's Theorem
26. If there is some number B that is greater than or equal to every number in the range of f
differentiability
bounded above
left hand limit
exponential growth and decay
27. The limit of f as x approaches c from the right
decay model
logarithmic function
right hand limit
dummy variable of integration
28. A function that possesses a finite integral; the function must be continuous on the interval of integration
parameter
integrable function
dummy variable of integration
law of sines
29. The smallest y-value of the function
absolute minimum
inflection point
definite integral
complex number
30. sinA/a=sinB/b=sinC/c
Radian
instantaneous velocity
law of sines
right hand sum
31. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
removable discontinuity
complex number
indefinite integral
transcendental function
32. The local and global maximums and minimums of a function
exponential function
extremum
differential
constant of integration
33. A line that divides a figure in half so that each half is the mirror image of the other.
axis of symmetry
left hand limit
Radian
left hand sum
34. 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
implicit differentiation
extreme value theorem
Intermediate value theorem
constant function
35. Dividing an interval into n sub-intervals
first derivative test
conic section
partition of an interval
cartesian coordinate system
36. A function that is continuous at every point on the interval
mean value theorem for definite integrals
limit of integration
domain
continuity on an interval
37. 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
differential
differentiability
right hand limit
concave up
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
local linearity
instantaneous velocity
non removable discontinuity
amplitude
39. 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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40. If there is some number b that is less than or equal to every number in the range of f
bounded below
bounded
conic section
cosecant function
41. A measure of how a function changes as its input changes.
linear approximation
average rate of change
concave down
derivative
42. A surface or shape exposed by making a straight cut through something at right angles to the axis.
limit at infinity
cross sectional area
absolute value
complex number
43. 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
root of an equation
antiderivative
Mean Value theorem for derivatives
odd function
44. 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
dummy variable of integration
right hand sum
antiderivative
45. Amount of change / time it takes (amount of change/ length of interval)
extremum
indefinite integral
average rate of change
integration by substitution
46. A function f that gives the position f(t) of a body on a coordinate axis at time t
axis of symmetry
position function
integration by substitution
Algebraic function
47. A point that represents the maximum value a function assumes over its domain
acceleration
absolute maximum
limit of integration
removable discontinuity
48. A variable occurring in a function - but on which the value of the function does not depend
amplitude
rational function
dummy variable of integration
continuity on an interval
49. Intervals in which the second derivative is positive
removable discontinuity
concave up
cartesian coordinate system
Rolle's Theorem
50. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
odd function
trapezoidal rule
acceleration
Fundamental theorem of calculus
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