Select the Correct Graph for the Following Function Using a Graphing

question 208

Multiple Choice

Select the correct graph for the following function using a graphing utility.Determine whether the limit exists or not. $f ( x ) = \frac { 4 } { x - 3 }$ , $\lim _ { x \rightarrow 3 } f ( x )$

• A) \(\lim _ { x \rightarrow 3 } f ( x )\) =3
• B) \(\lim _ { x \rightarrow 3 } f ( x )\) =0
• C) \(\lim _ { x \rightarrow 3 } f ( x )\) =4
• D) \(\lim _ { x \rightarrow 3 } f ( x )\) does not exist
• E) \(\lim _ { x \rightarrow 3 } f ( x )\) does not exist

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Definitions:

Theory of Hearing

A scientific explanation detailing how sound waves are detected by the ear and interpreted by the brain as sounds.

Frequency Theory

A theory of hearing which suggests that the frequency of the auditory nerve's impulses corresponds to the frequency of a sound wave, enabling us to detect pitch.

Pitch Perception

The auditory sensation through which a listener can identify musical notes as higher or lower in the scale, fundamentally dependent on the frequency of the sound wave.

Basilar Membrane

A structure in the cochlea of the inner ear that plays a key role in the mechanical to physiological transduction of sound.