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 given value of x and f(x) used to find the constant of integration
initial condition
instantaneous velocity
odd function
definite integral
2. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
leibniz notation
Antidifferentiation- check
integration by substitution
law of cosine
3. A measure of how a function changes as its input changes.
right hand sum
bounded below
derivative
transcendental function
4. A function whose domain is divided into several parts and a different function rule is applied to each part
circular function
parameter
law of sines
piecewise defined function
5. Input of function
absolute value
position function
domain
differential
6. d = v[( x2 - x1)² + (y2 - y1)²]
even function
optimization
differential
distance formula
7. 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
instantaneous velocity
constant of integration
distance formula
instantaneous rate of change
8. A variable occurring in a function - but on which the value of the function does not depend
exponential function
dummy variable of integration
trapezoidal rule
bounded below
9. Dividing an interval into n sub-intervals
local linearity
critical point
partition of an interval
position function
10. The function that is integrated in an integral
continuity on an interval
limit of integration
integrand
related rates
11. The local and global maximums and minimums of a function
absolute minimum
dummy variable of integration
extremum
Antidifferentiation- check
12. If there is some number B that is greater than or equal to every number in the range of f
bounded above
numerical derivative
local linearity
continuity on an interval
13. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
removable discontinuity
derivative
acceleration
parameter
14. Any value in the domain where either the function is not differentiable or its derivative is 0.
right hand sum
critical point
amplitude
power series
15. ex) dx - dy etc
continuous function
parallel curve
extremum
differential
16. 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
cartesian coordinate system
parameter
right hand sum
limit of integration
17. dy/dx
asymptote
related rates
leibniz notation
partition of an interval
18. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
differentiation
definite integral
even function
limit at infinity
19. A logarithm with the base e - written as ln
rational function
natural logarithm
acceleration
circular function
20. sinA/a=sinB/b=sinC/c
extreme value theorem
logarithm laws
law of sines
optimization
21. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
antiderivative
logarithm laws
leibniz notation
asymptote
22. 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
complex number
left hand sum
bounded above
implicit differentiation
23. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
conic section
order of a derivative
removable discontinuity
circular function
24. 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)
non removable discontinuity
linear approximation
Algebraic function
conic section
25. Intervals in which the second derivative is positive
concave up
extremum
differential
absolute minimum
26. Curve whose points are at a fixed normal distance of a given curve
normal line
cosecant function
average rate of change
parallel curve
27. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
absolute value
integrand
leibniz notation
rational function
28. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
exponential growth and decay
left hand limit
extremum
instantaneous velocity
29. Functions of angles
circular function
limit of integration
rational function
exponential function
30. A function that is continuous on both the left and right side at that point
constant function
trapezoidal rule
cross sectional area
continuity at a point
31. Amount of change / time it takes (amount of change/ length of interval)
critical point
average rate of change
transcendental function
second derivative test
32. A function that is continuous at every point on the interval
antiderivative
related rates
power series
continuity on an interval
33. 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
endpoint extremum
Mean Value theorem for derivatives
order of a derivative
34. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
odd function
critical value
bounded
differentiability
35. A limit in which f(x) increases or decreases without bound - as x approaches c
antiderivative
differentiation
infinite limit
position function
36. 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
optimization
inflection point
root of an equation
37. The limit of f as x approaches c from the right
logarithmic function
right hand limit
constant function
differentiation
38. A straight line that is the limiting value of a curve
normal line
root of an equation
asymptote
antiderivative
39. A line that divides a figure in half so that each half is the mirror image of the other.
differentiation
axis of symmetry
difference quotient
average rate of change
40. 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.
cross sectional area
differentiation
non removable discontinuity
mean value theorem for definite integrals
41. If there is some number b that is less than or equal to every number in the range of f
bounded below
cross sectional area
absolute value
difference quotient
42. Imaginary line drawn perpendicular to the surface of a mirror or any surface
exponential growth and decay
normal line
optimization
differentiation
43. The value of the function approaches as x increases or decreases without bound
Rolle's Theorem
bounded
definite integral
limit at infinity
44. The maximum distance that the particles of a wave's medium vibrate from their rest position
left hand limit
amplitude
law of sines
bounded
45. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrand
integrable function
concave down
extremum
46. A function that is a fixed numerical value for all elements of the domain of the function
constant function
perpendicular curves
normal line
antiderivative
47. Either of the endpoints of an interval over which a definite integral is to be evaluated
order of a derivative
integration by substitution
limit of integration
left hand sum
48. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
rational function
cartesian coordinate system
odd function
position function
49. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
parallel curve
concave up
implicit differentiation
piecewise defined function
50. The process of evaluating an indefinite integral
critical point
differentiation
Antidifferentiation- check
exponential function