Question
1). Show that L (x) = log 3 x is an inverse of E(x) = 3 x using: the theorem L(E(x)) = E(L(x))= x By
1). Show that L (x) = log3x is an inverse of E(x) = 3x using:
- the theorem L(E(x)) = E(L(x))= x
- By graphing at the same axis.
2). The revenue of a company during last 20 years recorded at the table below:
year, ( x) revenue, y (in thousands of dollars
2000 1020
2001 915
2003 905
2005 815
2006 750
2009 705
2010 890
2011 870
2012 920
2015 950
2017 1040
2018 1100
2019 1120
2020 1150
Find/Describe the following:
a). Draw the Scatter Diagram. What makes you think that the data
could/should represent a parabola, why or why not?
b). Find the quadratic equation that best fit the revenue of that
company over last 20 years. Interpret the concavity of the quadratic
function and identify whether the vertex represent the
maximum/minimum revenue of that company.
c). Using the predicted function, find and describe when the company will
have its maximum/minimum revenue.
d). Find then describe the maximum/minimum revenue of that company.
e). Identify any two years when the company will have same revenue using
the predicted quadratic function above.
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