When shipping a package, there is a complex process to determine shipping costs. Simplistically, by two-day air, to ship a package that weighs a fraction of an ounce up to 3 pounds, it would cost [tex]$\$[/tex] 7.35[tex]$. If the package is just over 3 pounds up to 10 pounds, it would be $[/tex]\[tex]$ 14.35$[/tex]. Between 10 and 20 pounds, it would cost [tex]$\$[/tex] 19.45[tex]$ plus $[/tex]\[tex]$ 0.50$[/tex] per pound for the weight over 10 pounds.

This could be represented as a piecewise function:
[tex]
f(x) =
\begin{cases}
7.35 & \text{if } 0 \ \textless \ x \leq 3 \\
14.35 & \text{if } 3 \ \textless \ x \leq 10 \\
19.45 + 0.50(x-10) & \text{if } 10 \ \textless \ x \leq 20
\end{cases}
[/tex]

Choose the correct pieces:
Select one or more:
a. [tex]$f(x) = 7.35 \quad 0 \ \textless \ x \leq 3$[/tex]
b. [tex]$f(x) = 7.35 \quad 0 \ \textless \ x \ \textless \ 3$[/tex]
c. [tex]$f(x) = 14.35 \quad 3 \leq x \ \textless \ 10$[/tex]
d. [tex]$f(x) = 19.45 + (0.50)(x-10) \quad 10 \ \textless \ x \leq 20$[/tex]
e. [tex]$f(x) = 19.45 + (0.50)(x) \quad 10 \ \textless \ x \leq 20$[/tex]
f. [tex]$f(x) = 14.35 \quad 0 \ \textless \ x \leq 10$[/tex]