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

Answer:

a. $f(0)=4$

b. $f(6)=8$

Step-by-step 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 ($x$). 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 ($5\leq x$). 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 $f(6)=8$