Answered

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select the option that best describes the basic shape of the graph of the radical function shown below . F(x) = x^1/6

Select The Option That Best Describes The Basic Shape Of The Graph Of The Radical Function Shown Below Fx X16 class=

Sagot :

we are given the function

[tex]y=x^{\frac{1}{6}}[/tex]

to picture this graph, we can find the inverse. It would be

[tex]y=x^6[/tex]

which looks like this:

now, note that the shape of the function of y=x^1/6 is mostly the same, but rotated to the right. Also, for y=x^1/6 to be a function, we must discard half of the graph. So the graph of the function will look as the half of a parabola turned on its side.

View image ZairaY83005
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