use the graph of the piece - wise function f shown above to determine the formula for f and the domain.\n…

use the graph of the piece - wise function f shown above to determine the formula for f and the domain.\n f(x)=\begin{cases}square&\text{if }x < square\\square&\text{if }xgeqsquareend{cases}\nvideo help

use the graph of the piece - wise function f shown above to determine the formula for f and the domain.\n f(x)=\begin{cases}square&\text{if }x < square\\square&\text{if }xgeqsquareend{cases}\nvideo help

Answer

Answer:

[ f(x)=\begin{cases} 8 & \text{if }x < 3\ 4 & \text{if }x\geq3 \end{cases} ] Domain: $(-\infty,\infty)$

Explanation:

Step1: Analyze left - hand part

For $x < 3$, the function value is constantly $y = 8$.

Step2: Analyze right - hand part

For $x\geq3$, the function value is constantly $y = 4$.

Step3: Determine domain

The graph covers all real $x$ values, so domain is $(-\infty,\infty)$.