Question

Which points are on the graph g(x)=(1/5)

Answer 1

The correct points on the graph are (1, 0).

To determine which points are on the graph of
`\( g(x) = (1)/(5)x \)`, substitute the x-values from each given point into the function and check if the resulting y-values match.

1. For point
`\((-1, 5)\)`:

`\[ g(-1) = (1)/(5)(-1) = -(1)/(5) \]`

The y-value does not match 5, so
`\((-1, 5)\)` is not on the graph.

2. For point
`\((-2, (1)/(25))\):`

`\[ g(-2) = (1)/(5)(-2) = -(2)/(5) \]`

The y-value does not match
`\((1)/(25)\)`, so
`\((-2, (1)/(25))\)` is not on the graph.

3. For point
`\((1, 0)\)`:

`\[ g(1) = (1)/(5)(1) = (1)/(5) \]`

The y-value matches 0, so (1, 0) is on the graph.

4. For point
`\((3, (1)/(125))\):`

`\[ g(3) = (1)/(5)(3) = (3)/(5) \]`

The y-value does not match
`\((1)/(125)\),` so
`\((3, (1)/(125))\)`is not on the graph.

Therefore, the correct points on the graph are
`\((1, 0)\)`.

Complete question:

Which points are on the graph of g(x)=(1/5)x ? Select each correct answer. (−1, 5) (−2, 1/25) (1, 0) (3, 1/125)