Find the X-Intercepts of the Polynomial Function $$f ( x ) = ( x - 2 ) ^ { 2 } \left( x ^ { 2 } - 9 \right)$$

question 174

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
- $$f ( x ) = ( x - 2 ) ^ { 2 } \left( x ^ { 2 } - 9 \right)$$

• A) 2 , touches the \(x\)-axis and turns around;
• \(- 3\), touches the \(x\)-axis and turns around
• 3 , touches the \(x\)-axis and turns around
• B) \(- 2\), touches the \(x\)-axis and turns around;
• ; 9 , crosses the \(x\)-axis
• C) 2 , touches the \(x\)-axis and turns around;
• \(- 3\), crosses the \(x\)-axis;
• 3 , crosses the \(x\)-axis
• D) 2 , touches the \(x\)-axis and turns around;
• 9 , touches the \(x\)-axis and turns around

Compare and contrast different utility functions to predict changes in consumer behavior.

Identify equilibria through mathematical manipulation of utility functions and initial endowments.

Explain how changes in initial endowments affect market outcomes and individual consumption.

Use the concept of Pareto efficiency to evaluate allocations in a two-good economy.

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