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How do you find the domain and range of this function?

 Nov 30, 2016
 #1
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This is a polynomial.......any polynomial always has a domain  of all real numbers (-inf, inf)

 

The range is trickier.....it may - or may not - have all real numbers included

 

Y = (x/100) (x - 10) (x - 15)( (1/2)x - 1)((1/4)x - 2)^2

 

Here's the graph of this  : https://www.desmos.com/calculator/gkswnwh9zr

 

Since it's a 6th power polynomial......the end behavoir on both sides of the y axis will be positive......

 

It appears that the lowest value of y taken on by this function occurs at about (13.714 , -7.829)

 

So....the range appears to be  (-7.829, inf)     [ .....the graph increases without bound at its endpoints  ]

 

 

 

cool cool cool

 Nov 30, 2016

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