1 Answer

RichH · Answer 1 · 2023-09-22T01:31:22+0000

Answer:

Explanation:

1.

Only the graph on the left is a function, due to the one on the right failing the vertical line test.

2.

This is asking for a positive x-value of the two functions, we can find that by setting them equal to a common value and then equal to each other.

Lets set them both equal to x.

First equation:

$y=x^2\\√(y)=x$

Second equation:

y^2=x

Now we set them equal to each other:

y^2=√(y)

Then solve for y by squaring both sides:

y^4=y

Now we solve by factoring:

$y^4=y\\y^4-y=0\\y(y^3-1)=0\\y^3-1=0\\y^3=1\\y=\sqrt[3]{1}\\ y=1$

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