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bearhunter [10]
2 years ago
10

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

Mathematics
1 answer:
rusak2 [61]2 years ago
7 0

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

<h3>How to find the extrema of the given function?</h3>

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

#SPJ1

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