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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 reenforces your understanding as you take the test each time.
1. A determining or characteristic element; a factor that shapes the total outcome; a limit  boundary
indefinite integral
root of an equation
parameter
axis of symmetry
2. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the left most point of the subinterval
removable discontinuity
left hand sum
difference quotient
derivative
3. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
differential equation
continuity on an interval
Algebraic function
transcendental function
4. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the rightmost point of the subinterval
removable discontinuity
right hand sum
cosecant function
law of sines
5. The function that is integrated in an integral
optimization
integrand
critical point
absolute minimum
6. 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
complex number
Fundamental theorem of calculus
position function
7. An integral without any specific limits  whose solution includes an undetermined constant c; antiderivative
continuity on an interval
differential
indefinite integral
implicit differentiation
8. Decay: y=ab^x where a >0 and 0<b<1  Growth: y=ab^x where a>0 and b>1
differential equation
exponential growth and decay
continuous function
distance formula
9. 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
cosecant function
differentiability
absolute minimum
first derivative test
10. Graph is symmetrical with respect to the origin; f(x)=f(x)
bounded below
mean value theorem for definite integrals
left hand limit
odd function
11. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
logarithmic function
amplitude
integration by substitution
integrable function
12. Input of function
domain
cross sectional area
non removable discontinuity
absolute minimum
13. 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
Intermediate value theorem
infinite limit
normal line
concave up
14. A surface or shape exposed by making a straight cut through something at right angles to the axis.
inflection point
odd function
continuity at a point
cross sectional area
15. A function that can be graphed w/ a line or smooth curve
acceleration
continuous function
dummy variable of integration
bounded below
16. The process of evaluating an indefinite integral
mean value theorem for definite integrals
integrand
right hand limit
Antidifferentiation check
17. dy/dx
endpoint extremum
differentiation
leibniz notation
differential equation
18. The rate at which velocity changes over time; an object accelerates if its speed  direction  or both change
second derivative test
acceleration
order of a derivative
dummy variable of integration
19. A logarithm with the base e  written as ln
difference quotient
natural logarithm
absolute minimum
antiderivative
20. 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)]/(ba)
related rates
distance formula
optimization
Mean Value theorem for derivatives
21. sinA/a=sinB/b=sinC/c
law of sines
cosecant function
logarithmic function
conic section
22. Curve whose points are at a fixed normal distance of a given curve
integrable function
parallel curve
removable discontinuity
extremum
23. The local and global maximums and minimums of a function
extremum
local linearity
normal line
non removable discontinuity
24. A function whose domain is divided into several parts and a different function rule is applied to each part
perpendicular curves
indefinite integral
extreme value theorem
piecewise defined function
25. The limit of f as x approaches c from the right
numerical derivative
right hand limit
bounded below
derivative
26. The behavior of the graph of a function as x approaches positive infinity or negative infinity
end behavior
piecewise defined function
limit of integration
root of an equation
27. If f is continuous on [a b] then at some point  c in [a b]  f(c)= (1/(ab))*?f(x)dx (with bounds a b)
logarithm laws
acceleration
mean value theorem for definite integrals
position function
28. A point where a function changes concavity; also  where the second derivative changes signs
left hand sum
inflection point
Fundamental theorem of calculus
exponential growth and decay
29. Having the limits or boundaries established
bounded
extremum
differentiability
left hand limit
30. The reciprocal of the sine function
cosecant function
odd function
initial condition
difference quotient
31. A given value of x and f(x) used to find the constant of integration
conic section
complex number
initial condition
law of sines
32. Ratio between the length of an arc and its radius
complex number
decay model
continuity at a point
Radian
33. If y is a function of x  y' = dy is the first order  or first  derivative of y with dx respect to x
linear approximation
transcendental function
Radian
order of a derivative
34. 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)
implicit differentiation
linear approximation
rational function
local linearity
35. 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))
acceleration
difference quotient
local linearity
root of an equation
36. 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
implicit differentiation
cartesian coordinate system
related rates
conic section
37. A²=(b²+c²)2(ab)Cos(A)
continuity on an interval
local linearity
even function
law of cosine
38. A limit in which f(x) increases or decreases without bound  as x approaches c
instantaneous rate of change
infinite limit
exponential function
differentiation
39. The smallest yvalue of the function
trapezoidal rule
absolute minimum
acceleration
critical value
40. A method of representing the location of a point using an ordered pair of real numbers of the form (x y)
cartesian coordinate system
dummy variable of integration
continuity on an interval
root of an equation
41. d = v[( x2  x1)² + (y2  y1)²]
distance formula
logarithm laws
end behavior
Total change Theorem
42. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
position function
continuity on an interval
differential
43. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
continuous function
end behavior
limit of integration
implicit differentiation
44. A line that divides a figure in half so that each half is the mirror image of the other.
concave up
axis of symmetry
related rates
infinite limit
45. (geometry)A curve generated by the intersection of a plane or circular cone
amplitude
perpendicular curves
rational function
conic section
46. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
concave down
second derivative test
indefinite integral
critical value
47. Function e^x  where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
logarithmic function
exponential function
trapezoidal rule
derivative
48. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
absolute maximum
differential equation
antiderivative
removable discontinuity
49. The value of the function at a critical point
optimization
conic section
critical value
derivative
50. A function that is continuous at every point on the interval
leibniz notation
differentiation
continuity on an interval
cartesian coordinate system