Answer:
a. [tex]f(0)=4[/tex]
b. [tex]f(6)=8[/tex]
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 ([tex]x<5[/tex]). So plugging in 0 into that part of f(x), which is [tex]x+4[/tex], we get:
[tex]0+4=4[/tex]
- 6 falls into the 2nd part ([tex]5\leq x<7[/tex]). So plugging in 6 into that part of f(x), which is [tex]8[/tex] , we get:
8 [since no matter what x value is, f(x) will be 8]
Hence [tex]f(0)=4[/tex] and [tex]f(6)=8[/tex]
