On What Interval Is the Graph Of $f ( x ) = \left( 1 - \frac { 1 } { x } \right) ^ { 2 }$

question 11

Multiple Choice

On what interval is the graph of $f ( x ) = \left( 1 - \frac { 1 } { x } \right) ^ { 2 }$ concave downward?

• A) \(( - \infty , 0 )\)
• B) \(\left( \frac { 3 } { 2 } , \infty \right)\)
• C) \(( 0 , \infty )\)
• D) \(( 1 , \infty )\)
• E) \(( - \infty , - 1 )\)
• F) \(\left( 1 , \frac { 3 } { 2 } \right)\)
• G) \(\left( - \frac { 3 } { 2 } , - 1 \right)\)
• H) \(( 0,1 )\)

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Definitions:

Negative Afterimages

Visual illusions that occur when looking away after staring at an image for a period, resulting in seeing a complementary color or shadow of the original.

Color Receptors

Photoreceptor cells in the retina of the eye responsible for detecting color.

Saturation

In a context, it refers to the stage where no additional information or responses are obtained from research participants; in color theory, it represents the intensity of a color.

Brightness

The perception of how light or dark a color appears; a subjective measure of the intensity of light.