Question

For f(x), evaluate the following:
a. f(0)
b. f(6)

Answer 1

F(0) = 0 + 4 = 4 Because 0 < 5
F(6) = 8 Because 5 < 6 < 7

Answer 2

a.
`f(0)=4`

b.
`f(6)=8`

Explanation:

• To find f(0), we need to plug in 0 into the function
• To find f(6), we need to plug in 6 into the function

This is a piecewise function broken into 3 parts. So we need to look at the part where our domain (x-values such as 0 and 6) falls into:

• 0 falls into the 1st part (
  `x<5`). So plugging in 0 into that part of f(x), which is
  `x+4`, we get:

`0+4=4`

• 6 falls into the 2nd part (
  `5\leq x<7`). So plugging in 6 into that part of f(x), which is
  `8` , we get:

8 [since no matter what x value is, f(x) will be 8]

Hence
`f(0)=4` and
`f(6)=8`