SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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 whose dependent variable satisfies a polynomial relationship with one or more independent variables
non removable discontinuity
integrable function
acceleration
Algebraic function
2. The smallest y-value of the function
circular function
absolute minimum
linear approximation
bounded above
3. 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)
law of sines
extremum
mean value theorem for definite integrals
differentiability
4. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)
Algebraic function
Total change Theorem
related rates
Fundamental theorem of calculus
5. Selection of a best element from some set of available alternatives.
optimization
non removable discontinuity
constant function
trapezoidal rule
6. 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
exponential function
first derivative test
concave up
7. If there is some number b that is less than or equal to every number in the range of f
axis of symmetry
integration by substitution
second derivative test
bounded below
8. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
optimization
inflection point
transcendental function
logarithm laws
9. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
integrand
indefinite integral
endpoint extremum
exponential function
10. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
parameter
integration by substitution
limit at infinity
cartesian coordinate system
11. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
order of a derivative
initial condition
continuity on an interval
difference quotient
12. A function that is continuous on both the left and right side at that point
difference quotient
continuous function
local linearity
continuity at a point
13. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
cartesian coordinate system
inflection point
non removable discontinuity
limit of integration
14. Imaginary line drawn perpendicular to the surface of a mirror or any surface
critical point
acceleration
extremum
normal line
15. A surface or shape exposed by making a straight cut through something at right angles to the axis.
initial condition
cross sectional area
order of a derivative
first derivative test
16. The value of the function approaches as x increases or decreases without bound
natural logarithm
exponential function
numerical derivative
limit at infinity
17. A limit in which f(x) increases or decreases without bound - as x approaches c
differentiability
infinite limit
right hand limit
trapezoidal rule
18. 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
extreme value theorem
related rates
piecewise defined function
even function
19. 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)
difference quotient
linear approximation
antiderivative
dummy variable of integration
20. The value that a function is approaching as x approaches a given value through values less than x
absolute value
even function
left hand limit
law of sines
21. 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
dummy variable of integration
related rates
Total change Theorem
22. A point where a function changes concavity; also - where the second derivative changes signs
bounded
inflection point
continuity on an interval
linear approximation
23. The limit of f as x approaches c from the right
continuity at a point
right hand limit
removable discontinuity
normal line
24. 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)
circular function
definite integral
bounded below
Mean Value theorem for derivatives
25. The mathematical process of obtaining the derivative of a function
position function
related rates
differentiation
first derivative test
26. A function f that gives the position f(t) of a body on a coordinate axis at time t
exponential function
numerical derivative
circular function
position function
27. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
position function
Total change Theorem
continuity at a point
indefinite integral
28. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
dummy variable of integration
difference quotient
removable discontinuity
integration by substitution
29. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
parameter
left hand limit
odd function
absolute maximum
30. An undetermined constant added to every result of integration (the added +c)
concave up
extreme value theorem
law of sines
constant of integration
31. A logarithm with the base e - written as ln
natural logarithm
circular function
implicit differentiation
dummy variable of integration
32. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
absolute minimum
integrand
left hand sum
33. A function that can be graphed w/ a line or smooth curve
continuous function
even function
Antidifferentiation- check
logarithm laws
34. The value of the function at a critical point
conic section
Total change Theorem
right hand limit
critical value
35. A straight line that is the limiting value of a curve
asymptote
conic section
difference quotient
infinite limit
36. A²=(b²+c²)-2(ab)Cos(A)
law of cosine
continuity on an interval
integration by substitution
piecewise defined function
37. The behavior of the graph of a function as x approaches positive infinity or negative infinity
law of sines
Algebraic function
right hand sum
end behavior
38. Functions of angles
partition of an interval
circular function
bounded below
critical value
39. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives
Total change Theorem
implicit differentiation
Fundamental theorem of calculus
natural logarithm
40. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
Algebraic function
left hand limit
left hand sum
even function
41. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
law of sines
decay model
second derivative test
Algebraic function
42. A line that divides a figure in half so that each half is the mirror image of the other.
cross sectional area
differential equation
axis of symmetry
power series
43. Two curves that have perpendicular tangents at the point of tangency
integrand
cosecant function
perpendicular curves
Antidifferentiation- check
44. 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.
trapezoidal rule
non removable discontinuity
numerical derivative
differential equation
45. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
parallel curve
natural logarithm
implicit differentiation
non removable discontinuity
46. N(1-r)^x
extreme value theorem
parameter
partition of an interval
decay model
47. sinA/a=sinB/b=sinC/c
law of sines
rational function
limit of integration
Rolle's Theorem
48. A variable occurring in a function - but on which the value of the function does not depend
dummy variable of integration
right hand limit
non removable discontinuity
definite integral
49. Input of function
optimization
integrand
domain
differential
50. Having the limits or boundaries established
removable discontinuity
parameter
Algebraic function
bounded