Respuesta :

Answer:

[tex]y=\sqrt[3]{-x} \text{  and  } y=-\sqrt[3]{x}[/tex]

Step-by-step explanation:

The positive square root of a number is not the same as the negative square root; additionally, neither of these is the same as the square root of the negative number.  This means none of the square roots give us the same graph.

Taking the cubed root of a negative number is the same as the negative cubed root of the positive number.  This means the fourth and sixth functions are the same.  They are not, however, the same as the positive cubed root of the positive number.

MrRoyal

Identical graphs are graph, that have the same output value, for the same input value.

The identical graphs are: [tex]\mathbf{y = \sqrt[3]{-x}\ and\ y =-\sqrt[3]{x}}[/tex]

From the list of given options, the identical graphs are:

[tex]\mathbf{y = \sqrt[3]{-x}\ and\ y =-\sqrt[3]{x}}[/tex]

This is so because, both functions have the same output for the same input value.

Take for instance, x = 8

[tex]\mathbf{y = \sqrt[3]{-8}\ and\ y =-\sqrt[3]{8}}[/tex]

Simplify

[tex]\mathbf{y = -2\ and\ y =-2}[/tex]

See that, the function have the same output value, when x = 8

This is also true, for every other x-values.

Read more about identical functions at:

https://brainly.com/question/2289025