One of the curve has two zeros at
and
.
Since curve has two
-intercepts it is a second degree polynomial.
An other curve has zeros at
.
Since curve has one
-intercept it is a first degree polynomial.
Remaining curve has no
-intercept it is a constant function.
The second degree polynomial be the original function
.
The derivative of a second function is a first degree function that means
is a linear function.
The derivative of a first degree function is a constant function that is
.
Therefore second degree polynomial is correspond to
.
Simillarly first degree is correspond to
.
Constant function is correspond to
.
Graph :
\Draw a coordinate plane Indicate the functions
,
and
correspondingly.

Draw a coordinate plane Indicate the functions
,
and
correspondingly.
.