The Graph of a Function $f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 24 \right)$

question 74

Multiple Choice

The graph of a function $f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 24 \right)$ is given.

Find the coordinates of all points of inflection of this function (if any) .

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Definitions:

Hydrograph

A graph showing the rate of flow (discharge) versus time past a specific point in a river, or other channel or conduit carrying flow.

Summer Thunderstorm

A weather phenomenon characterized by heavy rainfall, lightning, thunder, and occasionally hail, frequently occurring in the summer.

Steady Light Rain

A continuous and uniform precipitation with relatively low intensity, typically not leading to significant flooding.

River's Flow

The movement of water in a river channel as it travels from the headwaters to the mouth, influenced by gravity and landscape.