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.
.