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Determine the DOMAIN and RANGE from the graph

Determine the DOMAIN and RANGE from the graph-example-1
User Senia
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1 Answer

4 votes

Given:

The graph of a function.

To find:

The domain and range of the function.

Solution:

We have, the graph of a function and we need to find the domain and range of the function.

We know that, domain is the set of input values (x-values) and range is the set of output values (y-values).

From the given graph it is clear that function is defined for all values of x except x=0 because as x tends to 0 the function tends to negative or positive infinite. So, domain can be any real number except 0.


Domain=R-\{0\}


Domain=(-\infty,0)\cup (0,\infty)

From the given graph it is clear that the value of function can be any real number except y=0. So, range can be any real number except 0.


Range=R-\{0\}


Range=(-\infty,0)\cup (0,\infty)

Therefore, the correct option is B.

User Vicary
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