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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 that can be graphed w/ a line or smooth curve
second derivative test
continuous function
law of sines
piecewise defined function
2. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
absolute maximum
indefinite integral
end behavior
3. A given value of x and f(x) used to find the constant of integration
cosecant function
extremum
initial condition
logarithmic function
4. The value that a function is approaching as x approaches a given value through values less than x
left hand limit
antiderivative
average rate of change
Total change Theorem
5. Curve whose points are at a fixed normal distance of a given curve
parallel curve
Antidifferentiation- check
bounded
rational function
6. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
cross sectional area
order of a derivative
differentiation
difference quotient
7. If there is some number B that is greater than or equal to every number in the range of f
logarithm laws
critical value
bounded above
circular function
8. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
extreme value theorem
infinite limit
difference quotient
cross sectional area
9. dy/dx
position function
parameter
leibniz notation
derivative
10. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
Radian
perpendicular curves
parameter
antiderivative
11. 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
endpoint extremum
cross sectional area
antiderivative
removable discontinuity
12. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
limit of integration
root of an equation
critical value
complex number
13. Amount of change / time it takes (amount of change/ length of interval)
asymptote
absolute minimum
average rate of change
normal line
14. The value of the function approaches as x increases or decreases without bound
limit at infinity
antiderivative
constant function
non removable discontinuity
15. A point that represents the maximum value a function assumes over its domain
complex number
absolute maximum
dummy variable of integration
decay model
16. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
removable discontinuity
partition of an interval
axis of symmetry
continuous function
17. 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)
continuous function
rational function
linear approximation
first derivative test
18. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
exponential function
mean value theorem for definite integrals
conic section
transcendental function
19. An undetermined constant added to every result of integration (the added +c)
critical point
constant of integration
transcendental function
trapezoidal rule
20. The maximum distance that the particles of a wave's medium vibrate from their rest position
Total change Theorem
Radian
amplitude
domain
21. A²=(b²+c²)-2(ab)Cos(A)
cosecant function
law of cosine
difference quotient
even function
22. A function whose domain is divided into several parts and a different function rule is applied to each part
piecewise defined function
Radian
average rate of change
instantaneous rate of change
23. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
limit at infinity
law of sines
second derivative test
right hand limit
24. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
root of an equation
end behavior
integration by substitution
rational function
25. Intervals in which the second derivative is positive
parallel curve
cartesian coordinate system
circular function
concave up
26. 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
infinite limit
trapezoidal rule
odd function
definite integral
27. A variable occurring in a function - but on which the value of the function does not depend
definite integral
dummy variable of integration
asymptote
decay model
28. 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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29. Imaginary line drawn perpendicular to the surface of a mirror or any surface
normal line
decay model
second derivative test
asymptote
30. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
concave up
piecewise defined function
acceleration
antiderivative
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)]/(b-a)
instantaneous velocity
parallel curve
Antidifferentiation- check
Mean Value theorem for derivatives
32. 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
bounded below
endpoint extremum
Total change Theorem
continuous function
33. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
asymptote
continuity on an interval
Rolle's Theorem
indefinite integral
34. Dividing an interval into n sub-intervals
partition of an interval
leibniz notation
concave down
absolute minimum
35. A logarithm with the base e - written as ln
natural logarithm
absolute minimum
inflection point
linear approximation
36. A straight line that is the limiting value of a curve
power series
asymptote
end behavior
instantaneous velocity
37. A function that is continuous on both the left and right side at that point
continuous function
amplitude
continuity at a point
Algebraic function
38. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
exponential growth and decay
initial condition
absolute maximum
rational function
39. A point where a function changes concavity; also - where the second derivative changes signs
piecewise defined function
exponential function
inflection point
end behavior
40. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
difference quotient
parallel curve
infinite limit
conic section
41. A function that is continuous at every point on the interval
differential equation
non removable discontinuity
optimization
continuity on an interval
42. (geometry)A curve generated by the intersection of a plane or circular cone
implicit differentiation
integration by substitution
constant function
conic section
43. Two curves that have perpendicular tangents at the point of tangency
derivative
perpendicular curves
right hand limit
average rate of change
44. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
cartesian coordinate system
mean value theorem for definite integrals
bounded
differential equation
45. ex) dx - dy etc
power series
odd function
leibniz notation
differential
46. Having the limits or boundaries established
distance formula
absolute value
bounded
antiderivative
47. Ratio between the length of an arc and its radius
constant of integration
domain
first derivative test
Radian
48. The limit of f as x approaches c from the right
second derivative test
root of an equation
right hand limit
differential equation
49. 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
transcendental function
instantaneous velocity
natural logarithm
asymptote
50. A line that divides a figure in half so that each half is the mirror image of the other.
constant of integration
natural logarithm
end behavior
axis of symmetry