Question

What is the range of the function graphed below

Answer 1

for finding range pay attention to y axis you can see f(x) includes all numbers so the range is R

Answer 2

The range of the given function is the set of real numbers.

Explanation:

Function: It is defined as mapping between two non empty set A and B in which each element of set A is mapped to one element of set B.

Domain: It is define as the set of elements of set A which is substitute in place of x in the given function.

Range: It is define the set of elements which are obtained after assigning values of x in the given function.Range is a subset of codomain or equal to codomain.

In given figure

We can see the graph of line is passing through positive and negative values of y-axis.

The range of given function includes 2,-2,-3,-4,....

Therefore, the range of given graph is the set of real numbers.