The function is
and the interval is
.
Construct a table for different values of
in the interval
.
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Observe the table:
\
is positive and
is negative, therefore the value of
changes its sign for
.
By the location principle
has a zero between
and
.
is negative and
is positive, therefore the value of
changes its sign for
.
By the location principle
has a zero between
and
.
And there is no sign change between
and
.
As the
tends to
from the left
decreases, then begins increasing at
.
There may be real zeros between consecutive integers
and
.
Graph of the function
:
Observe the graph:
\The curve crosses the
-axis between
and
;
and
.
Therefore, the zeros of
on
occur between
and
;
and
.
The zeros of
on
occur between
and
;
and
.