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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 function that is a fixed numerical value for all elements of the domain of the function
amplitude
continuity on an interval
constant function
circular function
2. The reciprocal of the sine function
cosecant function
implicit differentiation
perpendicular curves
differential
3. The maximum distance that the particles of a wave's medium vibrate from their rest position
amplitude
differential
left hand limit
antiderivative
4. 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
natural logarithm
complex number
root of an equation
5. A measure of how a function changes as its input changes.
acceleration
derivative
first derivative test
rational function
6. The smallest y-value of the function
parameter
absolute minimum
concave up
axis of symmetry
7. 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
conic section
root of an equation
Radian
continuity on an interval
8. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
differential
end behavior
Antidifferentiation- check
definite integral
9. A point where a function changes concavity; also - where the second derivative changes signs
mean value theorem for definite integrals
inflection point
root of an equation
continuity at a point
10. 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)
linear approximation
continuous function
Mean Value theorem for derivatives
concave down
11. Dividing an interval into n sub-intervals
asymptote
axis of symmetry
partition of an interval
indefinite integral
12. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
bounded below
critical point
complex number
Radian
13. A variable occurring in a function - but on which the value of the function does not depend
end behavior
limit at infinity
dummy variable of integration
integrand
14. The mathematical process of obtaining the derivative of a function
first derivative test
instantaneous rate of change
differentiation
circular function
15. A function f that gives the position f(t) of a body on a coordinate axis at time t
conic section
circular function
position function
continuity on an interval
16. 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
bounded above
numerical derivative
left hand limit
17. dy/dx
leibniz notation
complex number
second derivative test
numerical derivative
18. A line that divides a figure in half so that each half is the mirror image of the other.
axis of symmetry
instantaneous velocity
trapezoidal rule
optimization
19. Selection of a best element from some set of available alternatives.
Intermediate value theorem
removable discontinuity
optimization
inflection point
20. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
integrable function
inflection point
cartesian coordinate system
Rolle's Theorem
21. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
left hand sum
parameter
absolute value
integration by substitution
22. The inverse of an eponential function
antiderivative
left hand sum
local linearity
logarithmic function
23. Ratio between the length of an arc and its radius
absolute maximum
trapezoidal rule
Radian
end behavior
24. ex) dx - dy etc
odd function
differential
limit of integration
dummy variable of integration
25. 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
distance formula
absolute maximum
exponential function
26. Curve whose points are at a fixed normal distance of a given curve
conic section
amplitude
parallel curve
dummy variable of integration
27. Two curves that have perpendicular tangents at the point of tangency
concave up
definite integral
perpendicular curves
integrable function
28. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
leibniz notation
Algebraic function
law of sines
rational function
29. A function that is continuous at every point on the interval
position function
differential equation
constant function
continuity on an interval
30. The local and global maximums and minimums of a function
inflection point
Fundamental theorem of calculus
extremum
piecewise defined function
31. 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)
numerical derivative
integration by substitution
law of sines
mean value theorem for definite integrals
32. 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
conic section
left hand sum
root of an equation
numerical derivative
33. A function that possesses a finite integral; the function must be continuous on the interval of integration
antiderivative
normal line
transcendental function
integrable function
34. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
endpoint extremum
numerical derivative
decay model
root of an equation
35. Functions of angles
end behavior
circular function
numerical derivative
instantaneous rate of change
36. A straight line that is the limiting value of a curve
optimization
natural logarithm
axis of symmetry
asymptote
37. The behavior of the graph of a function as x approaches positive infinity or negative infinity
end behavior
numerical derivative
law of cosine
integrable function
38. 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
antiderivative
extreme value theorem
differentiability
endpoint extremum
39. 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
first derivative test
Antidifferentiation- check
implicit differentiation
exponential function
40. The value of the function approaches as x increases or decreases without bound
perpendicular curves
limit at infinity
continuity at a point
indefinite integral
41. 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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42. (geometry)A curve generated by the intersection of a plane or circular cone
instantaneous velocity
odd function
conic section
differential equation
43. 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
differentiability
domain
circular function
absolute value
44. 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
decay model
average rate of change
first derivative test
45. Any value in the domain where either the function is not differentiable or its derivative is 0.
extreme value theorem
cartesian coordinate system
critical point
rational function
46. The value that a function is approaching as x approaches a given value through values less than x
left hand limit
distance formula
transcendental function
integrable function
47. 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)
end behavior
Fundamental theorem of calculus
implicit differentiation
constant of integration
48. The function that is integrated in an integral
perpendicular curves
definite integral
integrand
antiderivative
49. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
leibniz notation
order of a derivative
acceleration
local linearity
50. 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)
left hand limit
linear approximation
amplitude
perpendicular curves