Question

Question 7a: Let g(x)=(x-1)²(x+2) be a polynomial function. Sketch agraph of the polynomial

Answer 1

Answer:

The graph of the function g(x) is sketched in the explanations section

Explanations:

The given function is:

$g(x)=(x-1)^2(x+2)$

This can be expanded to become:

$\begin{gathered} g(x)=(x^2-2x+1)(x+2) \\ g(x)=x^3+2x^2-2x^2-4x+x+2 \\ g(x)=x^3-3x+2 \end{gathered}$

This is a cubic function

The graph of the function g(x) is plotted below: