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 domain is divided into several parts and a different function rule is applied to each part
related rates
infinite limit
Algebraic function
piecewise defined function
2. A straight line that is the limiting value of a curve
asymptote
second derivative test
concave down
even function
3. Having the limits or boundaries established
right hand limit
bounded
integrand
even function
4. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
indefinite integral
non removable discontinuity
derivative
definite integral
5. Curve whose points are at a fixed normal distance of a given curve
parallel curve
instantaneous velocity
absolute minimum
natural logarithm
6. The behavior of the graph of a function as x approaches positive infinity or negative infinity
trapezoidal rule
end behavior
concave down
bounded below
7. The reciprocal of the sine function
critical point
circular function
cosecant function
Mean Value theorem for derivatives
8. A function that is a fixed numerical value for all elements of the domain of the function
critical value
constant function
piecewise defined function
law of sines
9. The value of the function at a critical point
constant function
absolute value
critical value
Fundamental theorem of calculus
10. dy/dx
instantaneous velocity
leibniz notation
average rate of change
limit of integration
11. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
absolute minimum
differentiation
continuity on an interval
rational function
12. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
left hand limit
parameter
instantaneous rate of change
extremum
13. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
left hand limit
second derivative test
integration by substitution
transcendental function
14. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
endpoint extremum
asymptote
law of cosine
integrable function
15. 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
power series
differentiability
constant of integration
differential equation
16. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
local linearity
cartesian coordinate system
Fundamental theorem of calculus
left hand limit
17. Either of the endpoints of an interval over which a definite integral is to be evaluated
perpendicular curves
limit of integration
acceleration
absolute minimum
18. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
Algebraic function
natural logarithm
absolute minimum
limit at infinity
19. 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)
Fundamental theorem of calculus
Mean Value theorem for derivatives
initial condition
linear approximation
20. Two curves that have perpendicular tangents at the point of tangency
parameter
critical point
partition of an interval
perpendicular curves
21. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
22. A point where a function changes concavity; also - where the second derivative changes signs
order of a derivative
differentiation
inflection point
integration by substitution
23. Amount of change / time it takes (amount of change/ length of interval)
average rate of change
parallel curve
natural logarithm
bounded
24. 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
left hand sum
concave up
integrable function
first derivative test
25. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
differential equation
distance formula
logarithm laws
axis of symmetry
26. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
optimization
integrable function
leibniz notation
difference quotient
27. If there is some number B that is greater than or equal to every number in the range of f
piecewise defined function
trapezoidal rule
bounded above
Mean Value theorem for derivatives
28. 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
implicit differentiation
root of an equation
piecewise defined function
law of sines
29. 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)
removable discontinuity
bounded above
local linearity
Fundamental theorem of calculus
30. 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)
law of sines
limit at infinity
linear approximation
indefinite integral
31. Dividing an interval into n sub-intervals
piecewise defined function
derivative
parameter
partition of an interval
32. 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
right hand sum
instantaneous rate of change
cosecant function
critical point
33. Ratio between the length of an arc and its radius
differentiability
transcendental function
normal line
Radian
34. The process of evaluating an indefinite integral
right hand limit
Antidifferentiation- check
bounded
Mean Value theorem for derivatives
35. Selection of a best element from some set of available alternatives.
inflection point
left hand sum
extremum
optimization
36. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
critical value
first derivative test
bounded
even function
37. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
continuity on an interval
Radian
decay model
exponential function
38. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
Radian
extremum
differential equation
critical value
39. If there is some number b that is less than or equal to every number in the range of f
differential
limit of integration
numerical derivative
bounded below
40. The maximum distance that the particles of a wave's medium vibrate from their rest position
concave down
amplitude
cross sectional area
power series
41. 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)
mean value theorem for definite integrals
Antidifferentiation- check
natural logarithm
order of a derivative
42. A function that is continuous on both the left and right side at that point
continuity at a point
concave down
perpendicular curves
Rolle's Theorem
43. 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
absolute maximum
position function
limit at infinity
44. N(1-r)^x
decay model
integration by substitution
non removable discontinuity
even function
45. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
power series
removable discontinuity
leibniz notation
first derivative test
46. A variable occurring in a function - but on which the value of the function does not depend
antiderivative
dummy variable of integration
bounded
Fundamental theorem of calculus
47. 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
natural logarithm
derivative
left hand sum
bounded above
48. 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
left hand limit
dummy variable of integration
Intermediate value theorem
49. Intervals in which the second derivative is positive
decay model
implicit differentiation
Mean Value theorem for derivatives
concave up
50. The local and global maximums and minimums of a function
antiderivative
Total change Theorem
piecewise defined function
extremum
Can you answer 50 questions in 15 minutes?
Let me suggest you:
Browse all subjects
Browse all tests
Most popular tests
Major Subjects
Tests & Exams
AP
CLEP
DSST
GRE
SAT
GMAT
Certifications
CISSP go to https://www.isc2.org/
PMP
ITIL
RHCE
MCTS
More...
IT Skills
Android Programming
Data Modeling
Objective C Programming
Basic Python Programming
Adobe Illustrator
More...
Business Skills
Advertising Techniques
Business Accounting Basics
Business Strategy
Human Resource Management
Marketing Basics
More...
Soft Skills
Body Language
People Skills
Public Speaking
Persuasion
Job Hunting And Resumes
More...
Vocabulary
GRE Vocab
SAT Vocab
TOEFL Essential Vocab
Basic English Words For All
Global Words You Should Know
Business English
More...
Languages
AP German Vocab
AP Latin Vocab
SAT Subject Test: French
Italian Survival
Norwegian Survival
More...
Engineering
Audio Engineering
Computer Science Engineering
Aerospace Engineering
Chemical Engineering
Structural Engineering
More...
Health Sciences
Basic Nursing Skills
Health Science Language Fundamentals
Veterinary Technology Medical Language
Cardiology
Clinical Surgery
More...
English
Grammar Fundamentals
Literary And Rhetorical Vocab
Elements Of Style Vocab
Introduction To English Major
Complete Advanced Sentences
Literature
Homonyms
More...
Math
Algebra Formulas
Basic Arithmetic: Measurements
Metric Conversions
Geometric Properties
Important Math Facts
Number Sense Vocab
Business Math
More...
Other Major Subjects
Science
Economics
History
Law
Performing-arts
Cooking
Logic & Reasoning
Trivia
Browse all subjects
Browse all tests
Most popular tests