Question

Describe the piecewise function below by evaluating the function for given values of the domain

Answer 1

1.F(x)=-3

2.F(x)=2x-3

3.f(x)=5

Explanation:

Answer 2

We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:

For
`x \leq -2`:
The function for this domain is:

`y = -3`

For
`-2 \ \textless \ x \leq 2`:
The function for this domain is:

`y = mx + b`
Where,

`b = -3 m = (y2 - y1) / (x2 - x1) m = (1 - (-7)) / (2 - (-2))`

`m = (1 + 7) / (2 + 2) m = 8/4 m = 2`
Substituting:

`y = 2x - 3`

For
`x\ \textgreater \ 2`:
The function for this domain is:

`y = 5`