To compare: the properties of two functions and the key characteristics of their graph.
The domain and the range of both functions is set
The end behaviour is equal for both function
Both functions have the same asymptotes
The first graph decreases and the second graph increases.
Given information:
Function 1: an inverse variations function with a constant of variation
Function 2:
Concept Used:
Domain: The domain of a function is the set of all possible inputs
Range: The range of a function is the set of all possible outputs
Asymptote: A vertical asymptote is a vertical line at which the function is undefined. The graph of a function cannot touch a vertical asymptote, and instead, the graph either goes up or down infinitely. A horizontal asymptote is a horizontal line that the graph of the function approaches as
End Behaviour: The end behavior of a polynomial function is the behavior of the graph of as
Calculation:
Function 1: an inverse variations function with a constant of variation
Substitute
The graph is shown below:
Function 2:
The graph is shown below:
The domain and the range of both functions is set
The end behaviour is equal for both function
Both functions have the same asymptotes
The first graph decreases and the second graph increases.
The graph is shown below:
Chapter 5 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