Select the Correct Graph for the Following Function Using a Graphing

question 127

Multiple Choice

Select the correct graph for the following function using a graphing utility.Determine whether the limit exists or not. $f ( x ) = \frac { \sqrt { x + 4 } - 5 } { x - 6 }$ , $\lim _ { x \rightarrow 6 } f ( x )$

• A) \(\lim _ { x \rightarrow 6 } f ( x )\) =4
• B) \(\lim _ { x \rightarrow 6 } f ( x )\) does not exist
• C) \(\lim _ { x \rightarrow 6 } f ( x )\) does not exist
• D) \(\lim _ { x \rightarrow 6 } f ( x )\) =0
• E) \(\lim _ { x \rightarrow 6 } f ( x )\) =6

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Definitions:

Lava Flows

Streams of molten rock that pour or ooze from an erupting vent, typically flowing at temperatures of 700 to 1,200 degrees Celsius.

Glaciers/Snowpack

Masses of ice and snow that accumulate in colder climates, moving slowly over land under their own weight.

Volcanic Cinders

Small, porous pieces of pyroclastics that are ejected from a volcano during an explosive eruption.

Scoria Cone

A volcanic cone formed out of tephra (volcanic debris) and cinders that accumulate around and downwind from a volcanic vent.