Graph each function identify the domain and range and compar

Graph each function: identify the domain and range: and compare the graph with the graph of y= 1/x. y = -10/x Compare: Both Domain and Range are both infinate. y = 1/x + 3 + 3 Domain: - infinity

Solution

Ans(1):
Domain:
you found correct domain and graph.
you can also write domain: (-oo,oo)
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Range:
Range can\'t take 0 because of horizontal asymptote
Hence range: (-oo,oo)
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we know domain for y=1/x is (-oo,oo) and rage is (-oo,oo)
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compare: domain and range of y=1/x and y=-10/x both are same
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Ans(2):
Domain:
you found correct domain and graph.
you can also write domain: (-oo,-3) U (-3,oo)
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Range:
Range can\'t take 3 because of horizontal asymptote
Hence range: (-oo,3) U (3,oo)
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we know domain for y=1/x is (-oo,oo) and rage is (-oo,oo)
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compare: domain and range of y=1/x and y=1/(x+3)+3 both are different