Given:
The function is,
[tex]f(x)=-\frac{1}{3}(x+6)^2+12[/tex]
Explanation:
Plot the function of the graph.
From the graph, it can be observed that function has maximum value at x = -6. The maximum value of the function is 12.
It can be observed that as value of x increases to neative infinity then function approach the negative infinity. So left end behaviour of function is,
[tex]x\rightarrow-\infty,f(x)\rightarrow-\infty[/tex]
As the value of x approaches positive infinity then function appraoches the negative infinity. So right end behaviour of the function is,
[tex]x\rightarrow\infty,f(x)\rightarrow-\infty[/tex]
