$f(x)=f(x)=2x-1\mathrm{.}75x^2+1\mathrm{.}1x^3-0\mathrm{.}25x^4$ for xin$[-5,7]$ using exhaustive search method find

the initial interval with $h=0\mathrm{.}5$ then using interval halving method find the optimum interval

after $7$ iteration.

Find the initial interval by using bounding phase method for $f(x)=0\mathrm{.}4x^2-x+5$ choose initial

$x_0=4$ and step length $h=2$ then using interval halving method find the optimum interval

after $7$ iteration.