To graph: The given function and determine its domain and range.
Domain:
Range: The range is all real numbers.
Given information: The function
Concept used:
- The graph of a function can be drawn by finding the points that lies on the curve of the given function.
- The domain of an exponential function is the set of all real numbers.
Calculation:
The function
To make the graph of the given function, substitute different values of
This can be represented by in exponential form,
Similarly, find the values of
Now, draw each point of form
Note that the parent graph left 1 unit and down 2 units. The graph passes through the point
From the graph, it is clear that the line
Note that the graph asymptote is
The range is all real numbers.
Conclusion:
Hence, the domain of the given function is
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