Integration and Accumulation of Change
If the function is continuous and positive on the interval , how does multiplying by a constant before integrating it from to affect the value of ?
It triples the value of the integral.
It increases the value of the integral by a factor of nine.
It does not change the value of the integral.
It increases the value of the integral by three units.
If the graph of the first derivative of an integrally-defined function changes from negative to positive at , what can be concluded about at ?
is concave down at .
has a relative minimum at .
has a relative maximum at .
is concave up at .
When asked what an extrema for a function is, what value should one give?
The y-value of the extrema.
Both the x- and y-values of the extrema.
One cannot describe numerically what an extrema is.
The x-value of the extrema.
If the graph of the first derivative of an integrally-defined function changes from positive to negative at , what can be concluded about at ?
has a relative minimum at .
is concave down at .
has a relative maximum at .
is concave up at .
Given that , what does equal?
Cannot be determined from the given information
0
-12
12
If the graph of the first derivative of an integrally-defined function is increasing on the interval , what can be said about the behavior of on that interval?
has a relative maximum on .
has a relative minimum on .
is concave down on .
is concave up on .
What is an integrally-defined function?
A function defined using a power series.
A function defined using an indefinite integral.
A function defined using a derivative.
A function defined using a definite integral.

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If is an accumulation function given by , what is the limit of as approaches ?
The value of
The derivative of at
0
Where does a relative minimum of a function occur?
Where the function remains increasing
Where the function remains decreasing
Where the function changes direction from increasing to decreasing
Where the function changes direction from decreasing to increasing
If an accumulation function represents the area under curve from a fixed point to , what does represent?
The coordinates of point on curve .
The average rate of change from a fixed point to .
The total area under curve between two points.
The value of .