Explanation
Step 1
to check if the graph is a function inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
so
we can see that the function is intersect one time, so we can conclude
Yes, the graph is a function
Step 2
The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function
A)Domain:When looking at a graph, the domain is all the values of the graph from left to right
the graph goes from negative infinite to positive infinite,so we can conclude
[tex]\text{Domain. (-}\infty,\infty)[/tex]
B) Range:The range is all the values of the graph from down to up( Y -values)
therefore, the range is
[tex]\text{Range: (-}\infty,-2)[/tex]
I hope this helps you
