Question

The graph of the function, B(x), is shown below. Determine the following values for the function:

B(-1) =

B(3) =

B(1) =

Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer 1

`B(-1) = 1\\\\B(3) = 0\\\\B(1) =2`

Explanation:

By definition, a relation is a function if each input value has one and only one output value.

The input values are the x-values and the output values are the y-values.

Given:

`B(-1),B(3)` and
`B(1)`

We can identify that we need to find the output values of these input values:

`x=-1\\x=3\\x=1`

Observe in the graph attached that:

• When
  `x=-1,\ y=1`

• When
  `x=3,\ y=0`

• When
  `x=1,\ y=2`

Therefore:

`B(-1) = 1\\\\B(3) = 0\\\\B(1) =2`