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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 is continuous at every point on the interval
asymptote
instantaneous velocity
optimization
continuity on an interval
2. A measure of how a function changes as its input changes.
Mean Value theorem for derivatives
Radian
bounded above
derivative
3. Selection of a best element from some set of available alternatives.
rational function
right hand sum
optimization
asymptote
4. 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
differential equation
leibniz notation
end behavior
right hand sum
5. A line that divides a figure in half so that each half is the mirror image of the other.
integrable function
axis of symmetry
infinite limit
indefinite integral
6. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
exponential function
conic section
difference quotient
Algebraic function
7. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
inflection point
differential equation
continuous function
Antidifferentiation- check
8. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
complex number
cartesian coordinate system
bounded
partition of an interval
9. 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))
transcendental function
instantaneous velocity
difference quotient
local linearity
10. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
Antidifferentiation- check
removable discontinuity
Algebraic function
even function
11. 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
power series
instantaneous rate of change
numerical derivative
cartesian coordinate system
12. 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)
transcendental function
Mean Value theorem for derivatives
numerical derivative
first derivative test
13. Functions of angles
circular function
concave up
average rate of change
indefinite integral
14. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
Intermediate value theorem
parameter
right hand limit
conic section
15. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.
leibniz notation
right hand sum
non removable discontinuity
acceleration
16. Intervals on which the second derivative is negative
Total change Theorem
dummy variable of integration
root of an equation
concave down
17. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
even function
perpendicular curves
limit of integration
extreme value theorem
18. Two curves that have perpendicular tangents at the point of tangency
acceleration
perpendicular curves
optimization
critical point
19. The value of the function at a critical point
left hand sum
critical value
concave down
circular function
20. The behavior of the graph of a function as x approaches positive infinity or negative infinity
end behavior
optimization
average rate of change
differentiability
21. 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
integrable function
absolute value
endpoint extremum
left hand sum
22. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
instantaneous velocity
definite integral
removable discontinuity
continuity on an interval
23. A function that can be graphed w/ a line or smooth curve
continuity on an interval
difference quotient
continuous function
continuity at a point
24. A point where a function changes concavity; also - where the second derivative changes signs
amplitude
piecewise defined function
concave up
inflection point
25. 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
continuity at a point
conic section
related rates
absolute value
26. The distance a number is from 0 on a number line
asymptote
optimization
bounded below
absolute value
27. sinA/a=sinB/b=sinC/c
law of sines
right hand sum
definite integral
asymptote
28. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)
Algebraic function
concave up
mean value theorem for definite integrals
complex number
29. The value of the function approaches as x increases or decreases without bound
right hand sum
differential equation
non removable discontinuity
limit at infinity
30. The function that is integrated in an integral
amplitude
integrand
differentiability
acceleration
31. If there is some number b that is less than or equal to every number in the range of f
order of a derivative
transcendental function
bounded below
definite integral
32. Imaginary line drawn perpendicular to the surface of a mirror or any surface
acceleration
integrable function
normal line
leibniz notation
33. A variable occurring in a function - but on which the value of the function does not depend
trapezoidal rule
dummy variable of integration
power series
inflection point
34. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
logarithm laws
complex number
critical value
domain
35. A straight line that is the limiting value of a curve
asymptote
linear approximation
local linearity
domain
36. Dividing an interval into n sub-intervals
extremum
partition of an interval
logarithm laws
rational function
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
continuity on an interval
trapezoidal rule
limit at infinity
integration by substitution
38. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
exponential growth and decay
normal line
non removable discontinuity
integration by substitution
39. The process of evaluating an indefinite integral
concave up
piecewise defined function
Antidifferentiation- check
asymptote
40. 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
normal line
critical point
first derivative test
right hand limit
41. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
exponential function
indefinite integral
cosecant function
decay model
42. 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
Radian
root of an equation
piecewise defined function
optimization
43. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
non removable discontinuity
parallel curve
transcendental function
constant of integration
44. The local and global maximums and minimums of a function
extremum
law of cosine
natural logarithm
exponential growth and decay
45. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
exponential growth and decay
rational function
bounded above
optimization
46. (geometry)A curve generated by the intersection of a plane or circular cone
conic section
constant of integration
instantaneous rate of change
definite integral
47. A limit in which f(x) increases or decreases without bound - as x approaches c
axis of symmetry
difference quotient
left hand limit
infinite limit
48. If there is some number B that is greater than or equal to every number in the range of f
bounded above
constant function
average rate of change
leibniz notation
49. 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
extreme value theorem
piecewise defined function
differentiability
law of sines
50. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
continuity on an interval
implicit differentiation
limit at infinity
integrand