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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. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
exponential function
axis of symmetry
continuity at a point
position function
2. A surface or shape exposed by making a straight cut through something at right angles to the axis.
linear approximation
cross sectional area
Intermediate value theorem
instantaneous rate of change
3. Having the limits or boundaries established
absolute maximum
natural logarithm
law of cosine
bounded
4. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
complex number
amplitude
power series
endpoint extremum
5. 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
second derivative test
exponential function
instantaneous rate of change
order of a derivative
6. ex) dx - dy etc
indefinite integral
first derivative test
parallel curve
differential
7. Imaginary line drawn perpendicular to the surface of a mirror or any surface
normal line
Fundamental theorem of calculus
distance formula
implicit differentiation
8. If there is some number B that is greater than or equal to every number in the range of f
piecewise defined function
bounded above
position function
perpendicular curves
9. 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)
instantaneous rate of change
root of an equation
differential
linear approximation
10. Selection of a best element from some set of available alternatives.
optimization
limit at infinity
conic section
bounded
11. A point where a function changes concavity; also - where the second derivative changes signs
left hand sum
local linearity
even function
inflection point
12. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
left hand limit
differential equation
power series
infinite limit
13. 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)
rational function
constant of integration
cartesian coordinate system
Fundamental theorem of calculus
14. 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))
local linearity
continuous function
endpoint extremum
cross sectional area
15. 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
root of an equation
Total change Theorem
cartesian coordinate system
antiderivative
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 left most point of the sub-interval
inflection point
left hand sum
cosecant function
numerical derivative
17. Intervals in which the second derivative is positive
concave up
inflection point
power series
removable discontinuity
18. N(1-r)^x
absolute value
perpendicular curves
optimization
decay model
19. 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
perpendicular curves
Intermediate value theorem
limit at infinity
concave down
20. A function that is continuous on both the left and right side at that point
partition of an interval
continuity on an interval
average rate of change
continuity at a point
21. d = v[( x2 - x1)² + (y2 - y1)²]
differential equation
critical point
distance formula
initial condition
22. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
differentiation
integration by substitution
logarithm laws
power series
23. If there is some number b that is less than or equal to every number in the range of f
bounded below
definite integral
conic section
non removable discontinuity
24. The maximum distance that the particles of a wave's medium vibrate from their rest position
amplitude
root of an equation
dummy variable of integration
constant of integration
25. The smallest y-value of the function
integration by substitution
mean value theorem for definite integrals
absolute minimum
continuity at a point
26. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
absolute maximum
exponential function
law of sines
rational function
27. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
integrand
indefinite integral
distance formula
integrable function
28. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
order of a derivative
initial condition
parameter
optimization
29. A function that is continuous at every point on the interval
power series
law of sines
continuity on an interval
constant of integration
30. The process of evaluating an indefinite integral
Antidifferentiation- check
average rate of change
concave down
numerical derivative
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)
mean value theorem for definite integrals
parallel curve
absolute maximum
left hand limit
32. A line that divides a figure in half so that each half is the mirror image of the other.
exponential function
absolute value
rational function
axis of symmetry
33. A function f that gives the position f(t) of a body on a coordinate axis at time t
non removable discontinuity
critical value
extremum
position function
34. A function whose domain is divided into several parts and a different function rule is applied to each part
integrable function
constant of integration
piecewise defined function
Rolle's Theorem
35. A limit in which f(x) increases or decreases without bound - as x approaches c
law of sines
conic section
continuity at a point
infinite limit
36. (geometry)A curve generated by the intersection of a plane or circular cone
initial condition
extreme value theorem
continuity on an interval
conic section
37. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
Mean Value theorem for derivatives
cartesian coordinate system
Antidifferentiation- check
transcendental function
38. Either of the endpoints of an interval over which a definite integral is to be evaluated
law of sines
limit of integration
odd function
law of cosine
39. A logarithm with the base e - written as ln
mean value theorem for definite integrals
natural logarithm
left hand limit
absolute maximum
40. dy/dx
cross sectional area
leibniz notation
critical point
bounded
41. A function that is a fixed numerical value for all elements of the domain of the function
mean value theorem for definite integrals
constant function
numerical derivative
average rate of change
42. The distance a number is from 0 on a number line
law of cosine
integrand
continuous function
absolute value
43. Input of function
rational function
domain
power series
parallel curve
44. 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
amplitude
derivative
circular function
45. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
Radian
even function
position function
removable discontinuity
46. The behavior of the graph of a function as x approaches positive infinity or negative infinity
numerical derivative
end behavior
even function
bounded above
47. 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.
optimization
domain
Intermediate value theorem
non removable discontinuity
48. A measure of how a function changes as its input changes.
Algebraic function
extremum
dummy variable of integration
derivative
49. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
complex number
piecewise defined function
exponential growth and decay
Antidifferentiation- check
50. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
Antidifferentiation- check
exponential growth and decay
average rate of change
second derivative test
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