Find the Critical Point(s) of the Function

question 38

Multiple Choice

Find the critical point(s) of the function.Then use the second derivative test to classify the nature of each point, if possible.Finally, determine the relative extrema of the function.

• A)(1, 5) and (2, 5); saddle point: f(1, 5) = - 47; relative minimum value: f(2, 5) = - 48
• B)(1, 5) and (2, 5); relative maximum value: f(1, 5) = - 48; relative minimum value: f(2, 5) = 47
• C)(1, 5); saddle point: f(1, 5) = - 47
• D)(2, 5); relative maximum value: f(2, 5) = 48
• E)there are no critical points

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Definitions:

Retinal Disparity

The slight difference in the images projected on the two retinas, which is used to perceive depth.

Context Effects

The influence of environmental factors on one's perception of a stimulus.

Perceptual Adaptation

The ability of the body to adjust to an environment or stimuli, changing the way it perceives sensory information over time.

Interposition

A visual cue in which an object partially covers another, suggesting depth perception.