Use a Graphing Utility to Graph the Function Over the Indicated

question 143

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $$f ( x ) = 2 + 8 x - x 2 ; ( - 5,5 )$$

• A) local maximum at \(( - 4,50 )\)
• B) local minimum at \(( - 4,18 )\)
• C) local maximum at \(( 4,18 )\)
• D) local minimum at \(( 4,50 )\)

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Definitions:

Natural Rate

Often referred to as the natural rate of unemployment, it is the level of unemployment consistent with a stable inflation rate.

Phillips Curves

The economic theory suggesting an inverse relationship between inflation and unemployment rates over the short-term.

Expected Inflation

The rate of inflation that consumers, businesses, and investors anticipate will occur in the future, which can influence economic behavior in the present.

Phillips Curve

An economic theory that suggests an inverse relationship between the rate of unemployment and the rate of inflation in an economy.