Function End Behaviour (Polynomials) - Behaviour to Power and Coefficient (Level 1)

Function End Behaviour (Polynomials) - Behaviour to Power and Coefficient

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\$

A function with which highest power and leading coefficient would have this end behaviour?

a $A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= -5\end{align*}$

b $A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= 5\end{align*}$

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\$

A function with which highest power and leading coefficient would have this end behaviour?

a $A LaTex expression showing \begin{align*}\text{highest power} &= 6\\ \text{leading coefficient} &= -2\end{align*}$

b $A LaTex expression showing \begin{align*}\text{highest power} &= 7\\ \text{leading coefficient} &= -2\end{align*}$

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow \infty \\ \text{as }x \rightarrow \infty , y \rightarrow \infty \\$

A function with which highest power and leading coefficient would have this end behaviour?

a $A LaTex expression showing \begin{align*}\text{highest power} &= 4\\ \text{leading coefficient} &= 4\end{align*}$

b $A LaTex expression showing \begin{align*}\text{highest power} &= 5\\ \text{leading coefficient} &= 4\end{align*}$

$A LaTex expression showing \text{as }x \rightarrow -\infty , y \rightarrow -\infty \\ \text{as }x \rightarrow \infty , y \rightarrow -\infty \\$

A function with which highest power and leading coefficient would have this end behaviour?

a $A LaTex expression showing \begin{align*}\text{highest power} &= 2\\ \text{leading coefficient} &= -5\end{align*}$

b $A LaTex expression showing \begin{align*}\text{highest power} &= 3\\ \text{leading coefficient} &= -5\end{align*}$