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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 point that represents the maximum value a function assumes over its domain
partition of an interval
absolute maximum
power series
bounded above
2. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
continuity at a point
cosecant function
constant of integration
3. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
Algebraic function
bounded above
differentiation
rational function
4. A logarithm with the base e - written as ln
circular function
natural logarithm
differentiability
asymptote
5. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
normal line
even function
left hand sum
continuity at a point
6. A function that can be graphed w/ a line or smooth curve
absolute value
continuous function
related rates
logarithmic function
7. The limit of f as x approaches c from the right
right hand limit
limit at infinity
leibniz notation
critical point
8. Intervals on which the second derivative is negative
concave down
piecewise defined function
dummy variable of integration
differentiation
9. 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.
non removable discontinuity
normal line
second derivative test
continuous function
10. 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))
axis of symmetry
local linearity
end behavior
differential
11. A variable occurring in a function - but on which the value of the function does not depend
definite integral
Intermediate value theorem
dummy variable of integration
bounded
12. Selection of a best element from some set of available alternatives.
cartesian coordinate system
concave down
differential
optimization
13. The value of the function at a critical point
inflection point
amplitude
critical value
optimization
14. 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
trapezoidal rule
mean value theorem for definite integrals
first derivative test
piecewise defined function
15. Curve whose points are at a fixed normal distance of a given curve
left hand limit
parallel curve
differential
endpoint extremum
16. Amount of change / time it takes (amount of change/ length of interval)
average rate of change
non removable discontinuity
piecewise defined function
removable discontinuity
17. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
order of a derivative
continuity on an interval
implicit differentiation
integrable function
18. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
parallel curve
difference quotient
Fundamental theorem of calculus
odd function
19. 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
rational function
initial condition
right hand limit
root of an equation
20. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
parameter
exponential function
bounded below
end behavior
21. A function whose domain is divided into several parts and a different function rule is applied to each part
first derivative test
root of an equation
circular function
piecewise defined function
22. The inverse of an eponential function
implicit differentiation
cosecant function
linear approximation
logarithmic function
23. 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.
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24. sinA/a=sinB/b=sinC/c
infinite limit
parameter
law of sines
exponential function
25. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
non removable discontinuity
linear approximation
differential equation
power series
26. An undetermined constant added to every result of integration (the added +c)
Intermediate value theorem
integrand
differentiation
constant of integration
27. The value that a function is approaching as x approaches a given value through values less than x
root of an equation
parallel curve
first derivative test
left hand limit
28. Any value in the domain where either the function is not differentiable or its derivative is 0.
indefinite integral
critical point
domain
difference quotient
29. A function that is continuous at every point on the interval
continuity on an interval
instantaneous velocity
trapezoidal rule
linear approximation
30. 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
piecewise defined function
logarithmic function
instantaneous rate of change
exponential function
31. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
decay model
second derivative test
bounded
parameter
32. A function that is a fixed numerical value for all elements of the domain of the function
constant function
optimization
cross sectional area
integrable function
33. A²=(b²+c²)-2(ab)Cos(A)
law of cosine
natural logarithm
right hand sum
position function
34. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
odd function
absolute value
first derivative test
integrand
35. Imaginary line drawn perpendicular to the surface of a mirror or any surface
Radian
parameter
power series
normal line
36. (geometry)A curve generated by the intersection of a plane or circular cone
Fundamental theorem of calculus
conic section
antiderivative
constant of integration
37. ex) dx - dy etc
local linearity
mean value theorem for definite integrals
differential
parallel curve
38. A measure of how a function changes as its input changes.
law of cosine
derivative
complex number
critical value
39. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
endpoint extremum
implicit differentiation
domain
cosecant function
40. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N
Intermediate value theorem
numerical derivative
left hand limit
cosecant function
41. A function that is continuous on both the left and right side at that point
transcendental function
differential
perpendicular curves
continuity at a point
42. Functions of angles
complex number
circular function
conic section
left hand sum
43. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
right hand sum
cartesian coordinate system
critical point
acceleration
44. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
indefinite integral
Fundamental theorem of calculus
differentiability
integration by substitution
45. 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
critical value
power series
instantaneous velocity
even function
46. 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)
dummy variable of integration
continuous function
linear approximation
mean value theorem for definite integrals
47. 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)
Rolle's Theorem
amplitude
Mean Value theorem for derivatives
extreme value theorem
48. A function that possesses a finite integral; the function must be continuous on the interval of integration
power series
exponential growth and decay
definite integral
integrable function
49. dy/dx
left hand sum
logarithm laws
leibniz notation
mean value theorem for definite integrals
50. Ratio between the length of an arc and its radius
power series
conic section
Radian
root of an equation