Graph the function f(x) = x2 + 5x − 6 / x + 1 showing all the key features.
1 answer:
Answer:
the attached image shows the graph for given equation.
Step-by-step explanation:
We are given the following equation in the question:
The attached image shows the graph for the given equation.
We could plot this graph by finding the coordinated for different values of x.
Vertical asymptotes:
There are no horizontal asymptotes.
Some points on graph are:
(-3,-3), (-2,-2), (-1,3), (1,1), (2,12), (3,23)
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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
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