2 Answers

Tonmoy · Answer 1 · 2022-07-27T02:39:52+0000

Answer:

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

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