Question

The domain of f(x)= x^2 + 2x + 1 is -3≤x≤3. The largest value in the range of f(x) is

Answer 1

16

Explanation:

Answer 2

Answer: 16

Explanation:

`f(x)=x^2 + 2x + 1`

Since the coefficient of x^2 is 1, we know that the graph does *not* open downwards. However, the graph has been shifted left and right. This will make the maximum occur at a different place than normally.

Specifically, it has been shifted to the left, by 1 unit.

So the maximum will occur at x = 3.

lets plug in:

`f(3)=(3)^2 + 2(3) + 1`

`f(3)=9 + 6 + 1`

`f(3)=16`

The largest y valye is 16