$$\text { Find the intervals where } f ( x ) = \frac { \log 9 x } { x } \text { is increasing and where it is decreasing. }$$

question 130

Multiple Choice

$$\text { Find the intervals where } f ( x ) = \frac { \log 9 x } { x } \text { is increasing and where it is decreasing. }$$ Select the correct answer.

• A) increasing: \(( 9 e , \infty )\), decreasing: \(( 0,9 e )\)
• B) increasing: \(\left( 0 , \frac { e } { 9 } \right)\), decreasing: \(\left( \frac { e } { 9 } , \infty \right)\)
• C) increasing: \(( 90 , \infty )\), decreasing: \(( 0,90 )\)
• D) increasing: \(\left( 0 , \frac { 9 } { 10 } \right)\), decreasing: \(\left( \frac { 9 } { 10 } , \infty \right)\)

Identify the effects of unemployment rates on economic operations relative to the production possibilities curve.

Distinguish between different states of employment (e.g., full employment, depression, recession) and their representations on economic models.

Analyze the impact of historical events and societal changes on national economies and production capabilities.

Understand the role of resources and capital in the production process.

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Definitions:

Thrust Fault

A geological fault in which the upper block, or hanging wall, is pushed up and over the lower block, or footwall, often forming mountains or ridges.

Sea Level

The average height of the ocean's surface between the high and low tide, used as a reference point in measuring elevation and depths on Earth.

Marine Terraces

Flat, bench-like surfaces parallel to the shoreline that are formed by marine erosion and changes in sea level.

Wave-cut Notches

Erosional features formed at the base of cliffs by the action of ocean waves.