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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 method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
cartesian coordinate system
first derivative test
absolute minimum
inflection point
2. A function that can be graphed w/ a line or smooth curve
second derivative test
parameter
removable discontinuity
continuous function
3. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
left hand limit
distance formula
first derivative test
implicit differentiation
4. Two curves that have perpendicular tangents at the point of tangency
extremum
perpendicular curves
exponential function
logarithmic function
5. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
acceleration
axis of symmetry
power series
Fundamental theorem of calculus
6. Curve whose points are at a fixed normal distance of a given curve
parallel curve
complex number
piecewise defined function
odd function
7. 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
right hand sum
antiderivative
rational function
second derivative test
8. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
Intermediate value theorem
indefinite integral
difference quotient
transcendental function
9. sinA/a=sinB/b=sinC/c
piecewise defined function
end behavior
law of sines
first derivative test
10. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives
absolute minimum
axis of symmetry
trapezoidal rule
Total change Theorem
11. Imaginary line drawn perpendicular to the surface of a mirror or any surface
endpoint extremum
law of sines
normal line
complex number
12. An undetermined constant added to every result of integration (the added +c)
antiderivative
dummy variable of integration
constant of integration
circular function
13. 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
order of a derivative
bounded below
integration by substitution
14. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
axis of symmetry
exponential growth and decay
Total change Theorem
15. The value of the function at a critical point
instantaneous rate of change
critical value
bounded above
left hand sum
16. The limit of f as x approaches c from the right
asymptote
dummy variable of integration
end behavior
right hand limit
17. A function f that gives the position f(t) of a body on a coordinate axis at time t
differentiation
integration by substitution
position function
parallel curve
18. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
acceleration
differentiability
conic section
order of a derivative
19. The smallest y-value of the function
infinite limit
integrand
endpoint extremum
absolute minimum
20. N(1-r)^x
logarithm laws
decay model
average rate of change
Rolle's Theorem
21. A line that divides a figure in half so that each half is the mirror image of the other.
amplitude
axis of symmetry
left hand limit
exponential growth and decay
22. The mathematical process of obtaining the derivative of a function
concave down
differentiation
transcendental function
power series
23. Any value in the domain where either the function is not differentiable or its derivative is 0.
order of a derivative
continuous function
definite integral
critical point
24. d = v[( x2 - x1)² + (y2 - y1)²]
distance formula
differential equation
odd function
law of sines
25. 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
inflection point
trapezoidal rule
logarithmic function
differentiability
26. Intervals in which the second derivative is positive
end behavior
removable discontinuity
concave up
distance formula
27. Functions of angles
normal line
removable discontinuity
circular function
cartesian coordinate system
28. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
power series
absolute minimum
concave up
removable discontinuity
29. A function whose domain is divided into several parts and a different function rule is applied to each part
differentiation
piecewise defined function
circular function
Radian
30. The reciprocal of the sine function
first derivative test
cosecant function
Mean Value theorem for derivatives
partition of an interval
31. The inverse of an eponential function
logarithmic function
law of sines
cartesian coordinate system
Algebraic function
32. 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
leibniz notation
axis of symmetry
power series
33. A function that is continuous on both the left and right side at that point
optimization
continuity at a point
bounded below
transcendental function
34. Either of the endpoints of an interval over which a definite integral is to be evaluated
bounded
endpoint extremum
limit of integration
concave down
35. 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
continuous function
first derivative test
left hand sum
36. The maximum distance that the particles of a wave's medium vibrate from their rest position
first derivative test
amplitude
right hand sum
instantaneous velocity
37. Dividing an interval into n sub-intervals
partition of an interval
linear approximation
endpoint extremum
absolute minimum
38. The function that is integrated in an integral
concave down
Total change Theorem
integration by substitution
integrand
39. A limit in which f(x) increases or decreases without bound - as x approaches c
infinite limit
cosecant function
exponential function
amplitude
40. 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
critical value
bounded below
leibniz notation
41. A variable occurring in a function - but on which the value of the function does not depend
transcendental function
differentiability
dummy variable of integration
normal line
42. 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
position function
continuity at a point
asymptote
related rates
43. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
amplitude
logarithm laws
definite integral
Algebraic function
44. The distance a number is from 0 on a number line
concave up
Radian
absolute value
first derivative test
45. Input of function
definite integral
domain
integration by substitution
exponential growth and decay
46. Amount of change / time it takes (amount of change/ length of interval)
decay model
circular function
first derivative test
average rate of change
47. A function that is a fixed numerical value for all elements of the domain of the function
constant function
continuous function
amplitude
continuity on an interval
48. A surface or shape exposed by making a straight cut through something at right angles to the axis.
trapezoidal rule
logarithmic function
endpoint extremum
cross sectional area
49. 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
right hand sum
asymptote
numerical derivative
50. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
conic section
bounded below
power series
even function