Use the Intermediate Value Theorem to Determine If a Real $f ( x ) = x ^ { 4 } + 4 x ^ { 3 } - 4 x ^ { 2 } + 5 x + 2 \text { in } ( 3,4 )$

question 39

Multiple Choice

Use the Intermediate Value Theorem to determine if a real zero of f(x) occurs in the given interval. If this cannot be
determined, indicate so.
- $f ( x ) = x ^ { 4 } + 4 x ^ { 3 } - 4 x ^ { 2 } + 5 x + 2 \text { in } ( 3,4 )$

• A)Cannot determine
• B)Yes

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Definitions:

Working Backward

A problem-solving strategy that starts with the solution and works backward through the problem to figure out how to arrive at the solution.

Backtracking

A problem-solving technique that involves progressively checking and abandoning partial solutions until the right solution is found.

Means-end

A problem-solving strategy that involves breaking down the problem into smaller parts to address the difference between the current state and the desired goal.

Mental Set

is a cognitive bias that involves approaching a problem in a specific way, often influenced by past experiences, even when a different approach might be more effective.