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Is This the Graph of Y = exe ^ { x }

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Is this the graph of y = exe ^ { x } and are its first two Taylor polynomials at x = 0 on the same axis?  Is this the graph of y =  e ^ { x }  and are its first two Taylor polynomials at x = 0 on the same axis?


Definitions:

Long-run Phillips Curve

An economic concept stating that in the long run, there is no trade-off between inflation and unemployment; the curve is vertical at the natural rate of unemployment.

Inflation

How rapidly the across-the-board prices of goods and services increase, impairing fiscal buying ability.

Unemployment

Unemployment occurs when individuals who are capable of working and are looking for a job are unable to find employment. It is a key economic indicator.

Money Neutral

The principle that changes in the money supply only affect nominal variables and not real variables like output in the long run.

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