Question

Can somebody help me with this !!!!!

Answer 1

Given:

The graph of a relation.

To find:

The domain, range and check whether it is a function or not.

Solution:

Domain: The set of x-values or input values is known as domain.

Range: The set of y-values or output values is known as range.

A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.

Vertical line test: Each vertical line intersect the graph at most once.

The given function is defined for all real values of x. So, the domain of the given graph is:

$Domain=(\infty,\infty)$

The given function values can be any real number between -1 to 1. So, the range of the given graph is:

$Range=[-1,1]$

For all values of x we have a unique value of the function and the given graph intersect each vertical line at most once.

Since the graph pass the vertical line test therefore the given graph is a function.