Question

PLEASE HELP IM TRYING TO FINISH THIS BY NEXT MONDAY AND IVE BEEN STUCK ON THIS

Answer 1

A. F(x) has 1 relative minimum and maximum.

Explanation:

`{ \bf{F(x) = 2 {x}^(3) - 2 {x}^(2) + 1 }}`

As x and F(x) tend to positive and negative infinity:

`{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^( - ) \infin : f(x) → {}^( - ) \infin}}`

❎So, B and C are excluded.

Roots of the polynomial:

`{ \sf{f(x) = 2 {x}^(3) - 2 {x}^(2) + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}`

❎, D is also excluded.

✔, A

Answer 2

Explanation:

Choice A is the only one that is applicable.