(worth 30 points pls answer) does the following graph represent a function ? justify your answer !

Yes

Step-by-step explanation:

This graph passes the "vertical line test."  Draw a vertical line thru the graph for any x-value, and note that the line intersects the graph at only one place.  

Yes, this graph represents a function.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5