Question: Evaluate the function for the given values of $x$.\n\n2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions\nQuestion 13 of 28 (2 points) | Question Attempt: 1 of Unlimited\n\n4 for $x \geq 3$\n\nPart 1 of 5\ng($-3$) =\n\nPart 2 of 5\ng(3) =\n\nPart 3 of 5\ng($-2$) =\n\nPart 4 of 5\ng(0) =\n\nPart 5 of 5\ng(4) =\n\nGraph/piecewise text appears near the top-left/top-center: a piecewise function includes the line “4 for $x \geq 3$", with the function area positioned at top-left.

1. **State the problem:** We are given a piecewise function defined as $g(x) = 4$ for $x \geq 3$. We need to evaluate $g(x)$ at $x = -3, 3, -2, 0, 4$.\n\n2. **Understand the function:** The function $g(x)$ is constant and equals 4 only when $x$ is greater than or equal to 3. For values of $x$ less than 3, the function is not defined by the given piecewise rule, so we assume $g(x)$ is undefined or not given for those values.\n\n3. **Evaluate each part:**\n\n- For $x = -3$: Since $-3 < 3$, $g(-3)$ is not defined by the given rule. We say $g(-3)$ is undefined or no value given.\n\n- For $x = 3$: Since $3 \geq 3$, $g(3) = 4$.\n\n- For $x = -2$: Since $-2 < 3$, $g(-2)$ is undefined.\n\n- For $x = 0$: Since $0 < 3$, $g(0)$ is undefined.\n\n- For $x = 4$: Since $4 \geq 3$, $g(4) = 4$.\n\n4. **Summary of answers:**\n\n$$\n\begin{aligned} g(-3) &= \text{undefined} \\ g(3) &= 4 \\ g(-2) &= \text{undefined} \\ g(0) &= \text{undefined} \\ g(4) &= 4 \end{aligned} $$