Question

Select the graph that shares the same zero and the same end behavior as the function…..It’s the first question

Answer 1

Looking at the function, we have a third degree function, where the leading coefficient is negative.

That means when x tends to negative infinity, the function tends to positive infinity.

And when x tends to positive infinity, the function tends to negative infinity.

Also, the function is in the factored form, so we can easily identify the zeros:

`\begin{gathered} x+3=0\rightarrow x=-3\\ \\ x+1=0\rightarrow x=-1\\ \\ x-4=0\rightarrow x=4 \end{gathered}`

Graphing a function with these 3 zeros and with these end behaviors, we have: