Determine whether the relation y^2 - 4x = 3 represents y as a function of x

The relation does not represent y as a function of x.

Step-by-step explanation:

Consider the relation

Thus, the equation does not represent function because there is at least one x-value with two or more values.

For example, if you look at the attached graph,

at x = 0, y = 1.73

at x = 0 , y = -1.73

It means the same input is generating two outputs; also if we draw a vertical line on the graph, the vertical line would intersect the graph more than once.

Please check the red vertical line on the graph would intersect the graph more than once.

Therefore, the relation does not represent y as a function of x.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

alright well the answers to your question is

2xy/9 hope this have a nice day : )

step-by-step explanation: