Question

complete the function by putting the equation and domain of each part into the proper format. let x represent the number of hours since the pizza shop opened and f(x) represent the total number of pizzas sold. f(x) = { ≤ x ≤ < x ≤ < x ≤ } > select the correct answer from the drop - down menu. which piece of the function should you use to determine the y - intercept? i should use the piece of the function to determine the y - intercept because this piece crosses the y - axis and 0 is in its domain.

Explanation:

Step1: Recall y - intercept definition

The y - intercept is the value of the function when \(x = 0\). So we need to find the piece of the function whose domain includes \(x=0\).

Answer:

The piece of the function whose domain has \(x = 0\) as the left - hand endpoint (i.e., the piece where the lower bound of the domain is \(0\)) should be used to determine the y - intercept. Since no specific function pieces and domains are given in full, in general terms, we look for the part of the piece - wise function where \(0\) is in the domain. For example, if we had a piece - wise function with parts: \(f(x)=

$$\begin{cases}2x, &0\leq x\leq3\\4x - 2, &3\lt x\leq6\\x+5, &6\lt x\leq9\end{cases}$$

\), we would use the first piece \(2x\) (where \(0\leq x\leq3\)) to find the y - intercept because \(x = 0\) is in the domain \(0\leq x\leq3\).