At a brick laying contest, each layer of bricks is expected to be of an inch tall. Three contestants recorded the fraction of la
yers of brick they placed and the time it took them to place the bricks in the table below.
1 answer:
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To find the end behavior of a function, we find it's limits as x approaches infinity, getting the correct option as:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
Function:
The function given is:
Limit as x goes to infinity:
To find the limit of a function as x goes to infinity, we consider the term with the highest exponent in the numerator and in the denominator. So
The graphic of the function, given at the end of this answer, corroborates the answer.
Thus, the correct option is:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
For more on limits as x approaches infinity, you can check brainly.com/question/12207599.
