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AP Calculus Ab
Start Test
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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 on both the left and right side at that point
acceleration
transcendental function
continuity at a point
perpendicular curves
2. A variable occurring in a function - but on which the value of the function does not depend
power series
left hand limit
dummy variable of integration
natural logarithm
3. A given value of x and f(x) used to find the constant of integration
law of cosine
removable discontinuity
amplitude
initial condition
4. sinA/a=sinB/b=sinC/c
differentiability
law of sines
average rate of change
logarithmic function
5. Intervals on which the second derivative is negative
linear approximation
average rate of change
concave down
absolute maximum
6. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
difference quotient
definite integral
Rolle's Theorem
removable discontinuity
7. A²=(b²+c²)-2(ab)Cos(A)
Antidifferentiation- check
law of cosine
constant of integration
related rates
8. A function that possesses a finite integral; the function must be continuous on the interval of integration
Algebraic function
decay model
integrable function
dummy variable of integration
9. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
second derivative test
integration by substitution
critical value
continuity at a point
10. A function f that gives the position f(t) of a body on a coordinate axis at time t
transcendental function
order of a derivative
position function
left hand limit
11. If there is some number B that is greater than or equal to every number in the range of f
limit at infinity
law of cosine
bounded above
differentiation
12. An undetermined constant added to every result of integration (the added +c)
right hand sum
axis of symmetry
constant of integration
continuity on an interval
13. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end
instantaneous velocity
antiderivative
initial condition
related rates
14. 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
conic section
infinite limit
right hand sum
related rates
15. 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
infinite limit
end behavior
Rolle's Theorem
trapezoidal rule
16. The value of the function approaches as x increases or decreases without bound
cross sectional area
perpendicular curves
Antidifferentiation- check
limit at infinity
17. 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))
indefinite integral
local linearity
position function
right hand sum
18. Any value in the domain where either the function is not differentiable or its derivative is 0.
critical point
left hand limit
instantaneous velocity
removable discontinuity
19. The distance a number is from 0 on a number line
concave down
absolute value
exponential function
optimization
20. Amount of change / time it takes (amount of change/ length of interval)
local linearity
average rate of change
logarithm laws
logarithmic function
21. 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)
linear approximation
absolute maximum
Rolle's Theorem
leibniz notation
22. The inverse of an eponential function
end behavior
logarithmic function
instantaneous velocity
continuity at a point
23. The maximum distance that the particles of a wave's medium vibrate from their rest position
parallel curve
average rate of change
derivative
amplitude
24. dy/dx
leibniz notation
exponential function
concave down
antiderivative
25. ex) dx - dy etc
exponential growth and decay
dummy variable of integration
Fundamental theorem of calculus
differential
26. A function whose domain is divided into several parts and a different function rule is applied to each part
cross sectional area
cartesian coordinate system
piecewise defined function
limit of integration
27. The behavior of the graph of a function as x approaches positive infinity or negative infinity
end behavior
amplitude
Radian
conic section
28. The value of the function at a critical point
absolute maximum
critical value
differentiation
derivative
29. A limit in which f(x) increases or decreases without bound - as x approaches c
infinite limit
circular function
second derivative test
limit of integration
30. Intervals in which the second derivative is positive
Fundamental theorem of calculus
concave up
even function
difference quotient
31. Either of the endpoints of an interval over which a definite integral is to be evaluated
even function
derivative
limit of integration
normal line
32. The local and global maximums and minimums of a function
extremum
logarithmic function
difference quotient
removable discontinuity
33. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
infinite limit
partition of an interval
exponential function
complex number
34. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
differentiability
second derivative test
limit of integration
implicit differentiation
35. 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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36. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
antiderivative
definite integral
non removable discontinuity
odd function
37. A point that represents the maximum value a function assumes over its domain
definite integral
absolute maximum
asymptote
Fundamental theorem of calculus
38. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
constant of integration
Algebraic function
order of a derivative
right hand sum
39. 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)
numerical derivative
differentiability
Fundamental theorem of calculus
cartesian coordinate system
40. A measure of how a function changes as its input changes.
derivative
even function
continuity at a point
Rolle's Theorem
41. The function that is integrated in an integral
integrand
numerical derivative
limit at infinity
amplitude
42. (geometry)A curve generated by the intersection of a plane or circular cone
parallel curve
conic section
right hand sum
average rate of change
43. The limit of f as x approaches c from the right
right hand limit
power series
odd function
indefinite integral
44. A function that is a fixed numerical value for all elements of the domain of the function
constant function
decay model
local linearity
odd function
45. 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)
continuity at a point
piecewise defined function
constant function
Mean Value theorem for derivatives
46. A function that can be graphed w/ a line or smooth curve
law of sines
piecewise defined function
continuous function
bounded above
47. Dividing an interval into n sub-intervals
parameter
Rolle's Theorem
right hand limit
partition of an interval
48. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
cosecant function
continuous function
definite integral
49. The reciprocal of the sine function
integrand
dummy variable of integration
Rolle's Theorem
cosecant function
50. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
acceleration
antiderivative
rational function
law of cosine
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