Respuesta :

Edufirst
The answer is the third graph.

I attach the graph again to avoid misunterstandings.

To find the reflection over the x - axis, just note that f(x) becomes - f(x), so the graph of ∛x is - ∛x.

Graphically is pretty easy because you just have to translate all the points of f(x) to the opposite side across the x-axis.


Ver imagen Edufirst

Answer:

Third Graph

Step-by-step explanation:

We are given the function, [tex]f(x)=\sqrt[3]{x}[/tex].

The function f(x) is reflected over x-axis to form a new function g(x).

As we know,

'Reflection over x-axis flips the graph of the function and we get, f(x) becomes -f(x)'.

So, reflecting [tex]f(x)=\sqrt[3]{x}[/tex] over x-axis gives the function, [tex]g(x)=-\sqrt[3]{x}[/tex].

After plotting the function, [tex]g(x)=-\sqrt[3]{x}[/tex].

We see that, from the options, the third graph matches the graph of  [tex]g(x)=-\sqrt[3]{x}[/tex] as below.

Ver imagen wagonbelleville

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