To Graph: a
Given: points are given in
Concept used:
(1) If a function
(2) A power model or function is defined as:
(4) An exponential model or function is as follows:
(5) Equation of a line passing through the given two points as like
Then,
Here,
Calculation:
(a)The table of data pairs
The Scatter graph of
Here, choose two points
Now, substitute the value;
Thus,
Now, take the exponentiation of each side by e;
Therefore, the exponential function of the model is
(b)The table of data pairs
The Scatter graph of
Here, choose two points
Now, substitute the value;
Thus,
Now, take the exponentiation of each side by e;
Therefore, the power function of the model is
(C) By the graph of an exponential function of the data pairs represents the straight line and generates the scatter plot. But the power function of the data pairs is not representing the scatter plot. So, the power function is not the original function.
Then also it is clear the exponential function of the model is perfect showing these points in a scatter plot.
(D)
An exponential model or function is as follows:
Therefore, the exponential function of the model is
Conclusion:
Hence, the exponential function of the model satisfies the given points be
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education