Question

Please help my brain is mush i dont understand how this works nd i still have 11 assignments after this-

Answer 1

Answer:

See step by step

Step-by-step explanation:

1. First question, do they represent functions? The one o. the left is a function because if you do the vertical line test. It only passes through a point once so it is a function. while on the right if you do the vertical line test, it passes through a point twice so it not a function. For 2.. n other words, since the domain of this equation is all real numbers or negative infinity to positives infinity

let say x=1 and x=-1 and we use the equation

$y = {x}^{2}$

when we plug both those in we get

$y = 1$

this means that we can have two different x-values to equal out to the same y value. This is the definition of a function. So the one on the right is a function.

However the one on the left is a relation. TO Prove it, the domain of that function is all real numbers equal to or greater than zero, so let use 4.

${y}^{2} = 4$

${y} = 2 \: or \: - 2$

Since there are 2 possible answer choices as the y value, this isn't a function. It a relation. It maps a group of ordered sets to one x value. Which is the opposite of the function. So the one of the left is a relation