Answer
Absolute minimum of $1$ at $x=0.$
Absolute maximum of about $1.964$ at $x\approx 1.739$
Work Step by Step
Graph $f(x)$ and $f'(x)$.
See image below, work done on desmos.com.
The derivative is zero (critical points) for
$x\approx 1.729$
$x\approx 5.393$,
and we calculate $f(x)$ at the endpoints and critical points (also on the image)
We find:
Absolute minimum of $1$ at $x=0.$
Absolute maximum of about $1.964$ at $x\approx 1.739$
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