Find a function g that agrees with f for 
and is continuous on 
. 
Definitions:
Profit-Maximizing Level
The output level at which a firm achieves the highest possible profit, where marginal cost equals marginal revenue.
Competitive Firm
A business entity in a market where it must take the prevailing market price as given, due to its inability to influence prices through its own actions.
Market Price
The present cost at which a product or service is available for purchase or sale in the market.
Economic Profit
The difference between a firm's total revenue and its opportunity costs, including both explicit and implicit costs.
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