Question

I need to know the left end and right end behavior and i need the max and minimum please

Answer 1

Given:

The function is,

`f(x)=-(1)/(3)(x+6)^2+12`

Step-by-step 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,

`x\rightarrow-\infty,f(x)\rightarrow-\infty`

As the value of x approaches positive infinity then function appraoches the negative infinity. So right end behaviour of the function is,

`x\rightarrow\infty,f(x)\rightarrow-\infty`