Question

Determine the DOMAIN and RANGE from the graph

Answer 1

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.