Question

Insert parts a through E for the functions shown below

Answer 1

`f(x)=6x^2+x^3`

Factor x square on the function on the function

`f(x)=x^2\cdot(6+x)`

then, equal the expression to 0 in order to find the x-intercepts

`0=x^2\cdot(6+x)`

finally, if the product is equal to 0 it means that at least one of them is equal to 0

`\begin{gathered} x^2=0 \\ x=0 \\ 6+x=0 \\ x=-6 \end{gathered}`

The graph of the function touches the x-axis and turns around at

x=0,-6.