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Based on the function F(x) = 2x° +2x² - 4 and the graph of G(x) below, which of the following statements is true? TH O A. F(x) has 3 real roots x 70 G() O B. as x → = G(x) > 0 x → F(x) → O c. as x →-, F(x) — - O D. G(X) has 3 real roots

Based on the function Fx 2x 2x 4 and the graph of Gx below which of the following statements is true TH O A Fx has 3 real roots x 70 G O B as x Gx gt 0 x Fx O c class=

Respuesta :

We could graph the function F:

[tex]F(x)=2x^3+2x^2-4[/tex]

As follows:

As you can see,

[tex]\begin{gathered} as\text{ x}\to\infty,\text{ f(x)}\to\infty \\ as\text{ x}\to-\infty,\text{ f(x)}\to-\infty \end{gathered}[/tex]

Therefore, the correct answer is C.

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