How to find domain and range of an infinite graph

Asked by admin @ 22/11/2021 in Mathematics viewed by 292 People

Determine the graph that has the following properties:

domain: (- infinity, 4) , [4, infinity)
range: [0, infinity)
axis of symmetry: x=4

Answered by admin @ 22/11/2021

We have that

domain: (- infinity, 4) , [4, infinity)
range: [0, infinity)
axis of symmetry: x=4

1) the only two graphs with axis of symmetry x = 4 are graph B and graph D
2) graph B------> the range is [0, infinity)
3) graph D-----> the range is (-infinity, 0]
4) the domain graph B and graph D is the same

therefore

the answer is
the graph B

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