The problem in the image asks to identify the domain and range of a function based on its graph, as well as to identify the parent function.

Domain:

The domain consists of all the x-values for which the function is defined. From the graph:

• The function exists from $x = -3$ to $x = 3$. Thus, the domain is: $[-3, 3]$

Range:

The range consists of all the y-values that the function takes. Based on the graph:

• The minimum y-value is 0, and the maximum y-value is 3. Thus, the range is: $[0, 3]$

Parent Function:

The graph shows a "V" shape, which suggests that this is an absolute value function. The parent function for this graph is: $f(x) = |x|$ However, it appears to be vertically stretched and reflected to match the specific graph shown.

Would you like a further breakdown of transformations or any specific details?

Here are 5 related questions:

1. What transformation of the absolute value function would stretch or shrink the graph?
2. How can you determine the slope of the lines from the graph?
3. How does reflecting the graph change the equation of the function?
4. What happens to the range if the vertex of the graph moves downwards?
5. What is the effect of a horizontal shift on the domain?

Tip: When analyzing functions, always look for basic shapes like lines, parabolas, or absolute value graphs to identify their parent functions.