Let $f ( x ) = x ^ { 4 } - 4 x ^ { 3 }$

question 146

Essay

Let $f ( x ) = x ^ { 4 } - 4 x ^ { 3 }$ .(a) Use your graphing calculator to graph f using the default viewing rectangle.(b) Find the critical points of f and use them to determine an appropriate viewing rectangle (or rectangles) for f. The graph f again using the viewing rectangle.(c) Compare the graphs in parts (a) and (b)

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Definitions:

Price-inelastic

Describes a market situation where the quantity demanded of a product does not change significantly when its price changes.

Price-sensitive

Refers to the degree to which the demand for a product or service is affected by changes in its price.

Unitary-elastic

A demand or supply situation where the percentage change in quantity demanded or supplied is exactly equal to the percentage change in price.

Demand Curve

A graph showing the relationship between the price of a good and the quantity of that good consumers are willing and able to purchase at various prices.