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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
parameter
extremum
implicit differentiation
Rolle's Theorem
2. Ratio between the length of an arc and its radius
left hand sum
instantaneous velocity
second derivative test
Radian
3. Dividing an interval into n subintervals
complex number
endpoint extremum
bounded above
partition of an interval
4. A variable occurring in a function  but on which the value of the function does not depend
circular function
absolute minimum
even function
dummy variable of integration
5. Function e^x  where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
second derivative test
exponential function
distance formula
cosecant function
6. 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)
second derivative test
differentiation
mean value theorem for definite integrals
indefinite integral
7. The process of evaluating an indefinite integral
cross sectional area
constant function
antiderivative
Antidifferentiation check
8. A limit in which f(x) increases or decreases without bound  as x approaches c
decay model
exponential growth and decay
odd function
infinite limit
9. dy/dx
leibniz notation
difference quotient
related rates
left hand sum
10. Two curves that have perpendicular tangents at the point of tangency
perpendicular curves
parameter
distance formula
conic section
11. 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)
continuity at a point
exponential function
linear approximation
antiderivative
12. Decay: y=ab^x where a >0 and 0<b<1  Growth: y=ab^x where a>0 and b>1
instantaneous velocity
exponential growth and decay
law of cosine
continuity on an interval
13. d = v[( x2  x1)² + (y2  y1)²]
continuity on an interval
differential equation
differentiation
distance formula
14. A basic definition in calculus f(x+h)f(x)/h h doesn't equal 0
dummy variable of integration
position function
law of cosine
difference quotient
15. A function that is a fixed numerical value for all elements of the domain of the function
integrand
left hand sum
constant function
cosecant function
16. The value of the function approaches as x increases or decreases without bound
perpendicular curves
limit at infinity
non removable discontinuity
axis of symmetry
17. Selection of a best element from some set of available alternatives.
optimization
implicit differentiation
removable discontinuity
extreme value theorem
18. The value of the function at a critical point
circular function
cosecant function
critical value
infinite limit
19. When testing critical values  if the first derivative changes from negative to zero to positive  then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative  then that critical val
differentiation
rational function
differential
first derivative test
20. A given value of x and f(x) used to find the constant of integration
initial condition
parameter
transcendental function
acceleration
21. 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
local linearity
law of cosine
differentiability
22. If there is some number B that is greater than or equal to every number in the range of f
bounded above
continuous function
optimization
circular function
23. An integral without any specific limits  whose solution includes an undetermined constant c; antiderivative
odd function
exponential growth and decay
indefinite integral
parameter
24. 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
limit of integration
parallel curve
transcendental function
differentiability
25. Intervals on which the second derivative is negative
local linearity
concave down
numerical derivative
transcendental function
26. A point that represents the maximum value a function assumes over its domain
instantaneous velocity
position function
absolute maximum
Algebraic function
27. 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 xintercept of the graph
instantaneous rate of change
infinite limit
root of an equation
circular function
28. 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
circular function
instantaneous velocity
acceleration
bounded
29. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
dummy variable of integration
numerical derivative
differentiation
endpoint extremum
30. A line that divides a figure in half so that each half is the mirror image of the other.
continuity on an interval
axis of symmetry
natural logarithm
Algebraic function
31. 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
law of sines
first derivative test
endpoint extremum
antiderivative
32. If f(x) is continuous over [a b]  then it has an absolute maximum and minimum value on [a b].
natural logarithm
endpoint extremum
extreme value theorem
power series
33. Any number that can be written in the form a + bi  where a and b are real numbers and i is the imaginary unit
concave down
parallel curve
initial condition
complex number
34. (geometry)A curve generated by the intersection of a plane or circular cone
conic section
extreme value theorem
power series
even function
35. The inverse of an eponential function
distance formula
non removable discontinuity
piecewise defined function
logarithmic function
36. The behavior of the graph of a function as x approaches positive infinity or negative infinity
odd function
Antidifferentiation check
end behavior
critical point
37. 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
dummy variable of integration
position function
trapezoidal rule
continuity at a point
38. A function that is continuous on both the left and right side at that point
transcendental function
leibniz notation
continuity at a point
bounded above
39. Either of the endpoints of an interval over which a definite integral is to be evaluated
continuous function
limit of integration
exponential growth and decay
odd function
40. If there is some number b that is less than or equal to every number in the range of f
amplitude
continuity at a point
differentiability
bounded below
41. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
logarithmic function
left hand sum
order of a derivative
42. Has limits a & b  find antiderivative  F(b)  F(a) find area under the curve
Mean Value theorem for derivatives
average rate of change
definite integral
antiderivative
43. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
inflection point
law of cosine
power series
44. Amount of change / time it takes (amount of change/ length of interval)
power series
right hand sum
continuity at a point
average rate of change
45. Graph is symmetrical with respect to the yaxis; f(x) = f(x)
even function
critical point
concave down
acceleration
46. A function whose domain is divided into several parts and a different function rule is applied to each part
rational function
bounded above
antiderivative
piecewise defined function
47. Functions of angles
circular function
Total change Theorem
linear approximation
end behavior
48. Intervals in which the second derivative is positive
related rates
logarithm laws
integrand
concave up
49. An approximation of the derivative of a function using a numerical algorithm numerical integration  an approximation of the integral of a function using a numerical algorithm oddfunction f(x)=f(x)
distance formula
related rates
non removable discontinuity
numerical derivative
50. A²=(b²+c²)2(ab)Cos(A)
endpoint extremum
initial condition
decay model
law of cosine