describe range with algebra in Screenshot
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Answer:
(1, ∞)
Step-by-step explanation:
The range of a function denotes all possible outputs it can produce. In this case, it appears there is a horizontal asymptote at y=1 and:
[tex]\displaystyle\\\lim_{x\rightarrow -\infty}f(x)=1\\ \lim_{x\rightarrow \infty}f(x)=\infty[/tex]
Therefore, the range of this function is (1, ∞).
In linear algebra, range is a property of a system of vectors, and derived from it also a property of linear maps and matrices.
The range of a set of vectors is the maximum number of linearly independent vectors in the system, or equivalently the dimension of the subspace generated by the system. The range is a measure of the amount of information in the system.
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