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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 variable occurring in a function - but on which the value of the function does not depend
second derivative test
infinite limit
power series
dummy variable of integration
2. A function whose domain is divided into several parts and a different function rule is applied to each part
difference quotient
Mean Value theorem for derivatives
piecewise defined function
root of an equation
3. N(1-r)^x
cartesian coordinate system
decay model
initial condition
axis of symmetry
4. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
natural logarithm
Algebraic function
exponential function
linear approximation
5. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
extreme value theorem
perpendicular curves
endpoint extremum
mean value theorem for definite integrals
6. 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
extreme value theorem
constant of integration
left hand sum
mean value theorem for definite integrals
7. 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
absolute minimum
cartesian coordinate system
limit at infinity
8. d = v[( x2 - x1)² + (y2 - y1)²]
implicit differentiation
linear approximation
distance formula
natural logarithm
9. The inverse of an eponential function
logarithmic function
conic section
cross sectional area
numerical derivative
10. 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.
right hand sum
definite integral
rational function
non removable discontinuity
11. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
integrable function
definite integral
position function
logarithmic function
12. A logarithm with the base e - written as ln
second derivative test
partition of an interval
decay model
natural logarithm
13. A function that is a fixed numerical value for all elements of the domain of the function
constant function
distance formula
linear approximation
limit of integration
14. 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
infinite limit
antiderivative
Total change Theorem
15. If there is some number b that is less than or equal to every number in the range of f
bounded below
average rate of change
normal line
odd function
16. sinA/a=sinB/b=sinC/c
implicit differentiation
bounded above
absolute minimum
law of sines
17. 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
infinite limit
continuity on an interval
circular function
18. Imaginary line drawn perpendicular to the surface of a mirror or any surface
odd function
non removable discontinuity
normal line
concave down
19. A point that represents the maximum value a function assumes over its domain
absolute maximum
absolute minimum
parallel curve
asymptote
20. Dividing an interval into n sub-intervals
partition of an interval
Antidifferentiation- check
cosecant function
Mean Value theorem for derivatives
21. 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
infinite limit
right hand sum
limit at infinity
bounded above
22. 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
antiderivative
left hand limit
cosecant function
inflection point
23. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
critical value
extremum
power series
differential equation
24. A function that can be graphed w/ a line or smooth curve
right hand limit
power series
even function
continuous function
25. A point where a function changes concavity; also - where the second derivative changes signs
Antidifferentiation- check
inflection point
conic section
linear approximation
26. The value of the function approaches as x increases or decreases without bound
law of cosine
linear approximation
law of sines
limit at infinity
27. The distance a number is from 0 on a number line
definite integral
axis of symmetry
absolute value
circular function
28. The limit of f as x approaches c from the right
right hand limit
critical value
optimization
absolute maximum
29. The value that a function is approaching as x approaches a given value through values less than x
Antidifferentiation- check
integration by substitution
left hand limit
extreme value theorem
30. (geometry)A curve generated by the intersection of a plane or circular cone
instantaneous rate of change
right hand sum
axis of symmetry
conic section
31. Intervals on which the second derivative is negative
concave down
exponential function
left hand limit
Mean Value theorem for derivatives
32. A measure of how a function changes as its input changes.
differentiability
derivative
parameter
left hand sum
33. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
partition of an interval
average rate of change
odd function
Rolle's Theorem
34. Curve whose points are at a fixed normal distance of a given curve
circular function
continuous function
difference quotient
parallel curve
35. Having the limits or boundaries established
bounded
order of a derivative
Algebraic function
perpendicular curves
36. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
odd function
differential equation
parallel curve
acceleration
37. 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)
instantaneous rate of change
trapezoidal rule
Fundamental theorem of calculus
order of a derivative
38. A surface or shape exposed by making a straight cut through something at right angles to the axis.
endpoint extremum
limit at infinity
cross sectional area
exponential growth and decay
39. ex) dx - dy etc
average rate of change
Fundamental theorem of calculus
differential
first derivative test
40. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
optimization
extreme value theorem
bounded
concave down
41. 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)
infinite limit
linear approximation
acceleration
root of an equation
42. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
dummy variable of integration
Radian
complex number
43. dy/dx
piecewise defined function
cosecant function
constant function
leibniz notation
44. 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
partition of an interval
inflection point
definite integral
root of an equation
45. The behavior of the graph of a function as x approaches positive infinity or negative infinity
amplitude
end behavior
Fundamental theorem of calculus
bounded below
46. A given value of x and f(x) used to find the constant of integration
initial condition
acceleration
instantaneous rate of change
constant of integration
47. 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
instantaneous velocity
derivative
limit at infinity
parameter
48. If there is some number B that is greater than or equal to every number in the range of f
second derivative test
Algebraic function
even function
bounded above
49. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
difference quotient
definite integral
piecewise defined function
transcendental function
50. A function that is continuous at every point on the interval
limit at infinity
Rolle's Theorem
exponential function
continuity on an interval