Let $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 1$

question 34

Essay

Let $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 1$ . Use the graphs of f, $f ^ { \prime }$ , and $f ^ { \prime \prime }$ to estimate, to two decimal places,
(a) the critical numbers of f.(b) the interval(s) where f is decreasing.(c) the interval(s) where f is concave upward.

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Definitions:

Implausible

Lacking a sense of plausibility or credibility; unconvincing.

Informative

Providing useful or interesting information or data.

Patterns Of Explanation

Structured frameworks or methods used to elucidate how or why certain phenomena occur, aimed at enhancing understanding through logical reasoning.

Plausible

Appearing reasonable or probable.