To compare: the properties of two functions and the key characteristics of their graph.
The domain and the range of the first function is
The domain and the range of the second function is
Neither of the graphs has asymptotes since graphs approach to
The second graph increases faster than the first graph.
Given information:
Function 1: a square root function whose graph passes through the points
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: a square root function whose graph passes through the points
Function 2:
The graph is shown below:
Domain of the first function:
Range of the first function:
Domain of the second function:
Range of the second function:
Both graphs doesn’t have asymptote since graph approaches to
The second graph increases faster than the first graph.
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