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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 surface or shape exposed by making a straight cut through something at right angles to the axis.
cross sectional area
dummy variable of integration
end behavior
differential equation
2. Intervals in which the second derivative is positive
cartesian coordinate system
average rate of change
parameter
concave up
3. 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
exponential growth and decay
Rolle's Theorem
endpoint extremum
first derivative test
4. d = v[( x2 - x1)² + (y2 - y1)²]
axis of symmetry
Rolle's Theorem
linear approximation
distance formula
5. Selection of a best element from some set of available alternatives.
infinite limit
optimization
logarithm laws
transcendental function
6. An undetermined constant added to every result of integration (the added +c)
constant of integration
even function
domain
conic section
7. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
transcendental function
continuity at a point
trapezoidal rule
integrand
8. Ratio between the length of an arc and its radius
derivative
inflection point
instantaneous rate of change
Radian
9. Two curves that have perpendicular tangents at the point of tangency
bounded
bounded below
perpendicular curves
partition of an interval
10. A measure of how a function changes as its input changes.
Intermediate value theorem
asymptote
derivative
transcendental function
11. A point that represents the maximum value a function assumes over its domain
absolute maximum
amplitude
piecewise defined function
continuity at a point
12. Any value in the domain where either the function is not differentiable or its derivative is 0.
critical point
absolute maximum
related rates
extreme value theorem
13. A straight line that is the limiting value of a curve
asymptote
constant of integration
acceleration
circular function
14. A function that is continuous on both the left and right side at that point
continuity at a point
first derivative test
circular function
left hand sum
15. N(1-r)^x
related rates
exponential function
continuity on an interval
decay model
16. 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
Radian
differentiability
instantaneous rate of change
endpoint extremum
17. A function whose domain is divided into several parts and a different function rule is applied to each part
integration by substitution
piecewise defined function
leibniz notation
law of cosine
18. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
absolute minimum
decay model
removable discontinuity
integration by substitution
19. sinA/a=sinB/b=sinC/c
law of sines
Radian
average rate of change
logarithm laws
20. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
parallel curve
implicit differentiation
Rolle's Theorem
definite integral
21. If there is some number B that is greater than or equal to every number in the range of f
integrable function
cartesian coordinate system
bounded above
optimization
22. 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))
cartesian coordinate system
second derivative test
local linearity
Intermediate value theorem
23. Having the limits or boundaries established
limit at infinity
Algebraic function
right hand limit
bounded
24. 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
continuity at a point
left hand sum
continuous function
bounded above
25. Functions of angles
differentiation
integrable function
circular function
end behavior
26. The value of the function approaches as x increases or decreases without bound
limit at infinity
logarithmic function
first derivative test
removable discontinuity
27. A point where a function changes concavity; also - where the second derivative changes signs
integrand
transcendental function
inflection point
Total change Theorem
28. A given value of x and f(x) used to find the constant of integration
limit at infinity
exponential growth and decay
derivative
initial condition
29. dy/dx
leibniz notation
partition of an interval
asymptote
integration by substitution
30. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
partition of an interval
odd function
related rates
endpoint extremum
31. The reciprocal of the sine function
mean value theorem for definite integrals
Algebraic function
cosecant function
cross sectional area
32. Intervals on which the second derivative is negative
instantaneous velocity
parameter
concave down
exponential function
33. (geometry)A curve generated by the intersection of a plane or circular cone
Algebraic function
rational function
conic section
constant of integration
34. A limit in which f(x) increases or decreases without bound - as x approaches c
infinite limit
extremum
non removable discontinuity
cross sectional area
35. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
root of an equation
integration by substitution
linear approximation
natural logarithm
36. A function that is a fixed numerical value for all elements of the domain of the function
second derivative test
bounded below
constant function
absolute maximum
37. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
acceleration
law of cosine
local linearity
absolute maximum
38. A function that can be graphed w/ a line or smooth curve
Intermediate value theorem
transcendental function
continuous function
instantaneous velocity
39. 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
left hand limit
root of an equation
rational function
exponential function
40. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
parameter
infinite limit
parallel curve
inflection point
41. The limit of f as x approaches c from the right
right hand limit
normal line
continuity at a point
Algebraic function
42. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
antiderivative
dummy variable of integration
exponential growth and decay
position function
43. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
logarithm laws
first derivative test
exponential function
rational function
44. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
inflection point
differential equation
root of an equation
second derivative test
45. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative
instantaneous rate of change
differential equation
odd function
acceleration
46. Dividing an interval into n sub-intervals
derivative
law of sines
parameter
partition of an interval
47. Either of the endpoints of an interval over which a definite integral is to be evaluated
conic section
logarithm laws
limit of integration
parallel curve
48. A function f that gives the position f(t) of a body on a coordinate axis at time t
decay model
distance formula
position function
piecewise defined function
49. 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
transcendental function
concave down
axis of symmetry
related rates
50. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
Algebraic function
odd function
exponential growth and decay
differential