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