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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 determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
amplitude
local linearity
parameter
normal line
2. Either of the endpoints of an interval over which a definite integral is to be evaluated
implicit differentiation
limit of integration
differential equation
bounded
3. N(1-r)^x
inflection point
initial condition
integrable function
decay model
4. Dividing an interval into n sub-intervals
partition of an interval
Radian
absolute value
logarithmic function
5. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
integrand
even function
exponential growth and decay
perpendicular curves
6. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
Fundamental theorem of calculus
endpoint extremum
absolute minimum
domain
7. A straight line that is the limiting value of a curve
asymptote
integration by substitution
parameter
integrand
8. A point that represents the maximum value a function assumes over its domain
absolute value
Intermediate value theorem
extreme value theorem
absolute maximum
9. 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)
rational function
linear approximation
local linearity
absolute maximum
10. Amount of change / time it takes (amount of change/ length of interval)
non removable discontinuity
derivative
average rate of change
power series
11. 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
concave down
odd function
right hand sum
constant of integration
12. Two curves that have perpendicular tangents at the point of tangency
perpendicular curves
concave down
Intermediate value theorem
differential
13. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
piecewise defined function
integration by substitution
second derivative test
parameter
14. The function that is integrated in an integral
exponential growth and decay
integrand
integrable function
linear approximation
15. A function that possesses a finite integral; the function must be continuous on the interval of integration
infinite limit
right hand sum
integrable function
constant of integration
16. d = v[( x2 - x1)² + (y2 - y1)²]
piecewise defined function
initial condition
distance formula
extreme value theorem
17. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
cartesian coordinate system
perpendicular curves
order of a derivative
right hand sum
18. Selection of a best element from some set of available alternatives.
integrable function
Fundamental theorem of calculus
optimization
left hand limit
19. The distance a number is from 0 on a number line
order of a derivative
infinite limit
absolute value
Radian
20. Any value in the domain where either the function is not differentiable or its derivative is 0.
bounded
Total change Theorem
exponential function
critical point
21. 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)
numerical derivative
integrand
differentiability
logarithmic function
22. Having the limits or boundaries established
instantaneous rate of change
bounded
Antidifferentiation- check
law of sines
23. 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
cross sectional area
instantaneous velocity
related rates
asymptote
24. 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))
local linearity
non removable discontinuity
circular function
absolute maximum
25. A²=(b²+c²)-2(ab)Cos(A)
transcendental function
concave down
integration by substitution
law of cosine
26. dy/dx
law of cosine
endpoint extremum
leibniz notation
bounded above
27. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
right hand limit
logarithm laws
optimization
partition of an interval
28. A variable occurring in a function - but on which the value of the function does not depend
Radian
dummy variable of integration
mean value theorem for definite integrals
law of cosine
29. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
Radian
even function
right hand limit
rational function
30. 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
natural logarithm
trapezoidal rule
indefinite integral
extremum
31. A limit in which f(x) increases or decreases without bound - as x approaches c
infinite limit
right hand limit
root of an equation
differential equation
32. Functions of angles
Fundamental theorem of calculus
cosecant function
odd function
circular function
33. If there is some number b that is less than or equal to every number in the range of f
limit of integration
bounded below
implicit differentiation
constant of integration
34. A line that divides a figure in half so that each half is the mirror image of the other.
endpoint extremum
removable discontinuity
axis of symmetry
decay model
35. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
Total change Theorem
logarithm laws
amplitude
Algebraic function
36. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
left hand sum
differential equation
continuity on an interval
amplitude
37. (geometry)A curve generated by the intersection of a plane or circular cone
instantaneous rate of change
average rate of change
conic section
integration by substitution
38. The behavior of the graph of a function as x approaches positive infinity or negative infinity
continuous function
end behavior
distance formula
Algebraic function
39. The local and global maximums and minimums of a function
critical point
extremum
average rate of change
logarithmic function
40. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
difference quotient
critical point
conic section
exponential growth and decay
41. The value of the function approaches as x increases or decreases without bound
law of cosine
integrand
limit at infinity
conic section
42. Curve whose points are at a fixed normal distance of a given curve
non removable discontinuity
bounded
bounded above
parallel curve
43. 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
concave down
root of an equation
implicit differentiation
distance formula
44. Imaginary line drawn perpendicular to the surface of a mirror or any surface
concave down
implicit differentiation
normal line
mean value theorem for definite integrals
45. The process of evaluating an indefinite integral
natural logarithm
extremum
Fundamental theorem of calculus
Antidifferentiation- check
46. A surface or shape exposed by making a straight cut through something at right angles to the axis.
perpendicular curves
parameter
cross sectional area
partition of an interval
47. A function whose domain is divided into several parts and a different function rule is applied to each part
endpoint extremum
acceleration
implicit differentiation
piecewise defined function
48. A function that is a fixed numerical value for all elements of the domain of the function
constant function
circular function
initial condition
continuity at a point
49. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
Intermediate value theorem
differentiability
Total change Theorem
removable discontinuity
50. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
Antidifferentiation- check
continuity at a point
differentiation
acceleration