Is this the relation R:={(2,1),(3,1),(5,5),(7,5)} a function?

This is a function because there are no x values that repeat.

If we had repeated x values, then this would mean a certain input x leads to multiple outputs y, and that would not make it a function.

For instance, if we had (2,1) and (2,2) at the same time, then the input x = 2 leads to multiple outputs y = 1 and y = 2 at the same time. A function would not be possible in this example.

A function is only possible if any input x leads to exactly one output y. It is possible for y to repeat itself and still have a function.

answer: it's a

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x