Given the following function:
![\text{ y = -}(2)/(7)\text{x}^7](https://img.qammunity.org/2023/formulas/mathematics/college/5x7y5qpjw6cdor557dqgkezpztxiblswkj.png)
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,
![\text{ y = -}(2)/(7)(-1)^7\text{ = -}(2)/(7)(-1)\text{ = }(2)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/66ip5q44658y6wf4rqr8xb0sdwwdghttag.png)
Point 1 : (-1, 2/7)
At x = 0,
![\text{ y = -}(2)/(7)(0)^7\text{ = 0}](https://img.qammunity.org/2023/formulas/mathematics/college/zhm9d1lk26z7m393dp6hvnlv8w0l251o82.png)
Point 2: (0, 0)
At x = 1,
![\text{ y = -}(2)/(7)(1)^7\text{ = -}(2)/(7)(1)\text{ = -}(2)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/52fs5egv8bdp1vpxauo55l2fbxqd1iorit.png)
Point 3: (1, -2/7)
Among the graph, the one that best represents the equation is:
Therefore, the answer is CHOICE B.