Question

For the polynomial function ƒ(x)= −2x2 − 4x + 16, find all local and global extrema.
A) The local and global extrema are: (0, -4), (0, 2) and (-1, 18).
B) The only extrema point is (−1, 18).
C) No global extrema exist.
D) No local extrema exist.

Answer 1

are you using calculus or algebra?

Answer 2

lol "extrema" fancy word for the second coordinate of the vertex!

Answer 3

Algebra

Answer 4

to find the vertex, first coordinate is \(-\frac{b}{2a}\)

Answer 5

in your case it is
\[-\frac{-4}{2\times (-2)}=1\]

Answer 6

oops i meant \(-1\)

Answer 7

My answer is B

Answer 8

Then, yeah, just pick out the vertex a la @misty1212 . Since the highest exponent is 2, it has to be a parabola and only has 1 extrema

Answer 9

@misty1212 am I right?

Answer 10

yes

Answer 11

thank you

Answer 12

yw

Answer 13

\[\color\magenta\heartsuit\]

Answer 14

can yall help me