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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. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
dummy variable of integration
exponential growth and decay
Algebraic function
bounded
2. The inverse of an eponential function
trapezoidal rule
logarithmic function
mean value theorem for definite integrals
natural logarithm
3. The distance a number is from 0 on a number line
order of a derivative
logarithmic function
absolute value
absolute minimum
4. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
Total change Theorem
exponential growth and decay
continuity at a point
5. A function f that gives the position f(t) of a body on a coordinate axis at time t
definite integral
order of a derivative
power series
position function
6. 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
difference quotient
root of an equation
derivative
limit of integration
7. A point that represents the maximum value a function assumes over its domain
rational function
perpendicular curves
absolute maximum
derivative
8. A function that is a fixed numerical value for all elements of the domain of the function
optimization
logarithm laws
constant function
right hand limit
9. Ratio between the length of an arc and its radius
Fundamental theorem of calculus
Radian
trapezoidal rule
even function
10. N(1-r)^x
decay model
amplitude
domain
root of an equation
11. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
average rate of change
exponential function
bounded
continuous function
12. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
Antidifferentiation- check
local linearity
parameter
critical point
13. The limit of f as x approaches c from the right
odd function
right hand limit
normal line
numerical derivative
14. A function that is continuous on both the left and right side at that point
continuity at a point
absolute value
partition of an interval
amplitude
15. The behavior of the graph of a function as x approaches positive infinity or negative infinity
end behavior
instantaneous velocity
order of a derivative
integrable function
16. The value of the function approaches as x increases or decreases without bound
limit at infinity
position function
numerical derivative
concave down
17. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
decay model
conic section
complex number
odd function
18. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)
differentiability
numerical derivative
distance formula
left hand limit
19. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
difference quotient
parameter
even function
concave down
20. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
concave down
linear approximation
bounded above
indefinite integral
21. A line that divides a figure in half so that each half is the mirror image of the other.
implicit differentiation
axis of symmetry
natural logarithm
initial condition
22. sinA/a=sinB/b=sinC/c
law of sines
differentiation
infinite limit
distance formula
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. Imaginary line drawn perpendicular to the surface of a mirror or any surface
partition of an interval
continuous function
bounded above
normal line
25. Dividing an interval into n sub-intervals
even function
continuity at a point
parameter
partition of an interval
26. Having the limits or boundaries established
logarithmic function
critical value
transcendental function
bounded
27. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
inflection point
definite integral
endpoint extremum
cartesian coordinate system
28. Functions of angles
power series
differential
instantaneous rate of change
circular function
29. 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
extreme value theorem
integration by substitution
related rates
amplitude
30. A function that is continuous at every point on the interval
bounded above
continuity on an interval
circular function
second derivative test
31. Input of function
differentiability
power series
domain
law of cosine
32. Selection of a best element from some set of available alternatives.
implicit differentiation
optimization
continuity on an interval
right hand sum
33. 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)
bounded below
linear approximation
absolute minimum
inflection point
34. The value that a function is approaching as x approaches a given value through values less than x
cartesian coordinate system
left hand limit
differential equation
exponential function
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 right-most point of the sub-interval
optimization
right hand sum
continuity at a point
extremum
36. A variable occurring in a function - but on which the value of the function does not depend
law of sines
dummy variable of integration
endpoint extremum
indefinite integral
37. ex) dx - dy etc
integrable function
integrand
differential
instantaneous velocity
38. 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)
Algebraic function
Mean Value theorem for derivatives
asymptote
even function
39. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
differential equation
continuity on an interval
related rates
optimization
40. Either of the endpoints of an interval over which a definite integral is to be evaluated
complex number
infinite limit
Algebraic function
limit of integration
41. 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))
Mean Value theorem for derivatives
bounded
optimization
local linearity
42. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
parallel curve
second derivative test
instantaneous rate of change
Total change Theorem
43. Amount of change / time it takes (amount of change/ length of interval)
average rate of change
continuous function
absolute minimum
bounded below
44. 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
acceleration
integration by substitution
differentiability
critical point
45. 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
local linearity
infinite limit
complex number
instantaneous rate of change
46. An undetermined constant added to every result of integration (the added +c)
constant of integration
concave down
extreme value theorem
initial condition
47. The maximum distance that the particles of a wave's medium vibrate from their rest position
related rates
amplitude
Mean Value theorem for derivatives
absolute minimum
48. 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
definite integral
acceleration
law of cosine
49. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
rational function
limit at infinity
implicit differentiation
mean value theorem for definite integrals
50. The process of evaluating an indefinite integral
right hand sum
Antidifferentiation- check
instantaneous rate of change
Mean Value theorem for derivatives