Step-by-step 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
![\text{Domain. (-}\infty,\infty)](https://img.qammunity.org/2023/formulas/mathematics/college/4ip3cthr4jn5hvdjskmozftizvv2omzzj7.png)
B) Range:The range is all the values of the graph from down to up( Y -values)
therefore, the range is
![\text{Range: (-}\infty,-2)](https://img.qammunity.org/2023/formulas/mathematics/college/h3uy5380svq7dj5hu3jxquzcmliqh8e531.png)
I hope this helps you