Respuesta :

Given the following function:

[tex]\text{ y = -}\frac{2}{7}\text{x}^7[/tex]

Let's determine which graph correctly represents the given equation by determining its approximate coordinates.

Let's determine at x = -1, 0 and 1.

At x = -1,

[tex]\text{ y = -}\frac{2}{7}(-1)^7\text{ = -}\frac{2}{7}(-1)\text{ = }\frac{2}{7}[/tex]

Point 1 : (-1, 2/7)

At x = 0,

[tex]\text{ y = -}\frac{2}{7}(0)^7\text{ = 0}[/tex]

Point 2: (0, 0)

At x = 1,

[tex]\text{ y = -}\frac{2}{7}(1)^7\text{ = -}\frac{2}{7}(1)\text{ = -}\frac{2}{7}[/tex]

Point 3: (1, -2/7)

Among the graph, the one that best represents the equation is:

Therefore, the answer is CHOICE B.

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