
a.
To graph: Create a
Given information:
The number of years after
The U.S. population (in millions) is
Year | Population |
Graph:
Let
By given data table:
Interpretation:
Use of the data from the specified table, obtained the scatter plot of
b.
To graph: Plot a scatter of the
Given information:
The number of years after
The U.S. population (in millions) is
Year | Population |
Graph:
Interpretation:
Use of the data from the specified given table, Obtained the scatter plot of
c.
To graph: Show that the two plots are reflections of each other about the line
Given information:
The number of years after
The U.S. population (in millions) is
Graph:
Interpretation:
The reflection of the point
d.
To calculate: Find an exponential model
Exponential regression:
Logarithm regression:
Given information:
The number of years after
The U.S. population (in millions) is
Exponential regression:
Logarithm regression:
Concept used:
Exponential regression:
Logarithm regression:
Calculation:
To find logarithmic and exponential regression use formulas:
Exponential regression:
Logarithm regression:
Find
For Exponential regression:
Take two points
Substitute the values:
And;
Thus obtained Exponential regression:
Find
For Logarithm regression:
Take two points
Substitute the values:
Now,
Substitute the
And;
Thus obtained Logarithm regression:
Conclusion:
e.
To graph: Graph the exponential regression model.
Given information:
The number of years after
The U.S. population (in millions) is
Exponential regression:
Logarithm regression:
Graph:
Exponential regression:
Logarithm regression:
Interpretation:
Obtained the graph of functions
f.
To calculate: Analytically show how to compute the logarithmic regression value
Given information:
The number of years after
The U.S. population (in millions) is
Exponential regression:
Logarithm regression:
Formula used:
Exponential regression:
Logarithm regression:
Calculation:
For
Conclusion:
Chapter 3 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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