Domain Range Graph 81Eb54
1. **Problem:** Write the domain and range for the function shown on the graph (Graph 1).
2. **Understanding domain and range:**
- The **domain** is the set of all possible input values ($x$-values) for the function.
- The **range** is the set of all possible output values ($y$-values).
3. **Analyzing the graph:**
- The graph starts near $x = -6$ with $y \approx 2$ and moves downward crossing the $x$-axis at about $(2,0)$.
- As $x$ increases beyond 2, the graph approaches $y=0$ but never goes below it.
4. **Domain:**
- The graph is defined from $x = -6$ to $x = \infty$ (since it continues to the right).
- So, domain is $$[-6, \infty)$$.
5. **Range:**
- The highest $y$-value is about 2 at $x = -6$.
- The lowest $y$-value approaches 0 but does not go below.
- So, range is $$[0, 2]$$.
**Final answer:**
- Domain: $$[-6, \infty)$$
- Range: $$[0, 2]$$