Solution:
The given Polynomial is :
By Rational Root theorem the of Zeroes of the Polynopmial are:
But ,
So, no root of this polynomial is real.
Therefore, All the four roots of Polynomial are imaginary.
So, we can't say whether the number k=2, is an upper or lower bound of the polynomial .
Most of the graphing resources used shows that the graph is translated up by 3.25 (3 + 1/4). If you add the 3 and the 1/4, you get the equation of a line:
f(x) = x + 3.25,
which means that the graph of f(x)= x now has a y intercept of 3.25.
The graphs are below. The red line represents f(x) = x, and the green line represents (x+3)+1/4. Hope this helps!
