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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. Having the limits or boundaries established
Antidifferentiation- check
right hand limit
bounded
power series
2. A point where a function changes concavity; also - where the second derivative changes signs
trapezoidal rule
decay model
inflection point
integration by substitution
3. 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
axis of symmetry
perpendicular curves
differentiability
normal line
4. A surface or shape exposed by making a straight cut through something at right angles to the axis.
antiderivative
cross sectional area
critical point
first derivative test
5. A logarithm with the base e - written as ln
decay model
antiderivative
piecewise defined function
natural logarithm
6. (geometry)A curve generated by the intersection of a plane or circular cone
conic section
Fundamental theorem of calculus
endpoint extremum
right hand limit
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 left most point of the sub-interval
piecewise defined function
indefinite integral
left hand sum
derivative
8. The behavior of the graph of a function as x approaches positive infinity or negative infinity
inflection point
constant of integration
end behavior
Total change Theorem
9. The value of the function approaches as x increases or decreases without bound
limit at infinity
right hand sum
order of a derivative
Intermediate value theorem
10. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
Algebraic function
implicit differentiation
exponential growth and decay
root of an equation
11. The value that a function is approaching as x approaches a given value through values less than x
partition of an interval
leibniz notation
instantaneous rate of change
left hand limit
12. ex) dx - dy etc
Radian
differential
left hand limit
concave up
13. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
mean value theorem for definite integrals
Algebraic function
perpendicular curves
continuity at a point
14. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
even function
logarithmic function
piecewise defined function
cartesian coordinate system
15. A limit in which f(x) increases or decreases without bound - as x approaches c
continuity on an interval
infinite limit
differential
law of cosine
16. Ratio between the length of an arc and its radius
end behavior
Radian
integrand
absolute minimum
17. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
power series
cartesian coordinate system
logarithmic function
18. 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
rational function
endpoint extremum
dummy variable of integration
19. A variable occurring in a function - but on which the value of the function does not depend
dummy variable of integration
Mean Value theorem for derivatives
circular function
partition of an interval
20. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
continuous function
limit at infinity
inflection point
second derivative test
21. Imaginary line drawn perpendicular to the surface of a mirror or any surface
odd function
parallel curve
mean value theorem for definite integrals
normal line
22. Intervals on which the second derivative is negative
trapezoidal rule
left hand sum
Antidifferentiation- check
concave down
23. The function that is integrated in an integral
integrand
integrable function
definite integral
derivative
24. The process of evaluating an indefinite integral
amplitude
first derivative test
Intermediate value theorem
Antidifferentiation- check
25. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
removable discontinuity
distance formula
Rolle's Theorem
differentiability
26. N(1-r)^x
law of cosine
instantaneous velocity
optimization
decay model
27. Any value in the domain where either the function is not differentiable or its derivative is 0.
critical point
concave down
parallel curve
absolute value
28. A function that is continuous on both the left and right side at that point
left hand limit
integrable function
decay model
continuity at a point
29. Dividing an interval into n sub-intervals
constant function
even function
partition of an interval
endpoint extremum
30. The inverse of an eponential function
absolute minimum
logarithmic function
right hand limit
first derivative test
31. If there is some number B that is greater than or equal to every number in the range of f
axis of symmetry
bounded above
critical value
exponential growth and decay
32. dy/dx
leibniz notation
asymptote
integrand
transcendental function
33. A function that can be graphed w/ a line or smooth curve
law of sines
continuous function
inflection point
amplitude
34. A function whose domain is divided into several parts and a different function rule is applied to each part
piecewise defined function
Antidifferentiation- check
integration by substitution
integrable function
35. The distance a number is from 0 on a number line
exponential function
critical point
local linearity
absolute value
36. The local and global maximums and minimums of a function
endpoint extremum
extremum
linear approximation
continuity at a point
37. 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
Fundamental theorem of calculus
instantaneous rate of change
exponential function
constant of integration
38. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
definite integral
continuity on an interval
root of an equation
differential equation
39. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
inflection point
complex number
right hand sum
Fundamental theorem of calculus
40. 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
extremum
transcendental function
right hand limit
Total change Theorem
41. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
numerical derivative
logarithmic function
root of an equation
endpoint extremum
42. 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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43. A function that is a fixed numerical value for all elements of the domain of the function
Rolle's Theorem
power series
constant function
exponential function
44. The value of the function at a critical point
absolute minimum
critical value
continuous function
definite integral
45. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
extreme value theorem
axis of symmetry
differentiability
indefinite integral
46. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
constant of integration
bounded below
exponential growth and decay
differential equation
47. sinA/a=sinB/b=sinC/c
extremum
circular function
parallel curve
law of sines
48. A function that possesses a finite integral; the function must be continuous on the interval of integration
non removable discontinuity
differentiation
law of sines
integrable function
49. 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.
distance formula
integration by substitution
integrable function
non removable discontinuity
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)
continuous function
domain
linear approximation
difference quotient