Question

Evaluate the following Piecewise Function.
Please sturggeling

Answer 1

`f(0)=4`

`f(6) = 8`

Explanation:

Given

The piece wise function

Solving (a): f(0)

To solve for f(0), we make use of:

`f(x) = x + 4`

Because: the inequality
`x < 5` satisfies x = 0

i.e:
`0 < 5`

So, we have:

`f(x) = x + 4`

`f(0)=0 + 4`

`f(0)=4`

Solving (b): f(6)

To solve for f(6), we make use of:

`f(x) = 8`

Because: the inequality
`5 \le x < 7` satisfies x = 6

i.e:
`5 \le 6 < 7`

So, we have:

`f(6) = 8`