Let $f ( x ) = 2 x ^ { 4 } - 3 x ^ { 3 } - 10 x ^ { 2 } + 20$

question 4

Essay

Let $f ( x ) = 2 x ^ { 4 } - 3 x ^ { 3 } - 10 x ^ { 2 } + 20$ . Use the graphs of f, $f ^ { \prime }$ , and $f ^ { \prime \prime }$ to estimate, to two decimal places, each of the following:
(a) The critical numbers of f.(b) The intervals where f is increasing.(c) The x values where f has inflection points.(d) The intervals where f is concave downward.

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Legislature

The governmental body responsible for enacting laws within a specific jurisdiction, typically consisting of elected representatives.

Punitive Damages

Damages designed to punish flagrant wrongdoers and to deter them and others from engaging in similar conduct in the future.

Standard of Proof

The level of evidence required to prove a legal assertion or charge, varying by the nature of the legal issue.

Reasonable Doubt

The standard of proof required in criminal trials, indicating that there is no other logical explanation that can be derived from the facts except that the defendant committed the crime.