Question

For the polynomial function ƒ(x)= −2x2 − 4x + 16, find all local and global extrema.

Answer 1

For the given quadratic equation we only have a maximum at y = 18.

How to find the extrema of the given function?

Here we have:

$f(x) = -2x^2 - 4x + 16$

Notice that this is a quadratic equation of negative leading coefficient.

Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.

The vertex is at:

x = -(-4)/(2*(-2)) = -1

The maximum is:

$f(-1) = -2*(-1)^2 - 4*(-1) + 16 = -2 + 4 + 16 = 18$

If you want to learn more about quadratic equations:

brainly.com/question/1214333

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