Questions: The image contains a coordinate grid with a curved line graph plotted on it, representing the function y = g(x) - 2. The x-axis ranges from -5 to 5, and the y-axis ranges from 1 to 5.

The image contains a coordinate grid with a curved line graph plotted on it, representing the function y = g(x) - 2. The x-axis ranges from -5 to 5, and the y-axis ranges from 1 to 5.

Transcript text: The image contains a coordinate grid with a curved line graph plotted on it, representing the function y = g(x) - 2. The x-axis ranges from -5 to 5, and the y-axis ranges from 1 to 5.

Solution

Solution Steps

Step 1: Identify the function and its domain

The graph represents the function \( y = g(x) \). We need to identify the domain of the function, which is the set of all possible \( x \)-values for which the function is defined.

Step 2: Determine the range of \( x \)-values

From the graph, observe the \( x \)-values where the function \( g(x) \) is defined. The function starts at \( x = -4 \) and ends at \( x = 3 \).

Step 3: Identify any discontinuities or gaps

Check for any gaps or discontinuities in the graph within the range of \( x \)-values. The function is continuous from \( x = -4 \) to \( x = 3 \) without any breaks.