Question

Can you please help with 44Please put it in all 3 such as: up/down, as _,_ , limits

Answer 1

Given:

$h(x)=(x-1)^3(x+3)^2$

x-intercept, h(x)=0,

$\begin{gathered} (x-1)^3(x+3)^2=0 \\ x=1,1,1,-3,-3 \end{gathered}$

y-intercept, x=0,

$\begin{gathered} h(0)=(-1)^3(3)^2 \\ h(0)=-1(9) \\ h(0)=-9 \end{gathered}$$\begin{gathered} \text{Multiplicity of (x-1)}^3\text{ is 3} \\ \text{Multiplicity of (x+3)}^2\text{ is 2} \end{gathered}$