Question: Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below.
f(-2) = ? f(2) = ?
b. The range is (-\infty,4]. (Type your answer in interval notation. Simplify your answer.)
c. Select the correct choice below and fill in any answer boxes within your choice.
A. The x-intercept(s) is (are) (-1,0)
(Type an integer. Use a comma to separate answers as needed.)
B. There is no x-intercept.
Graph shape: a downward-opening parabola centered near x=1 with a vertex at about (1,4), crossing the x-axis at about (-1,0) and (3,0), extending downward on both sides; position_hint = center.What are the x intercepts
1. **State the problem:** We need to find the x-intercepts of the given parabola.
2. **Recall the definition:** The x-intercepts are the points where the graph crosses the x-axis, i.e., where $f(x) = 0$.
3. **Analyze the graph description:** The parabola opens downward with vertex at approximately $(1,4)$ and crosses the x-axis at about $(-1,0)$ and $(3,0)$.
4. **Identify the x-intercepts:** From the description, the x-intercepts are at $x = -1$ and $x = 3$.
5. **Write the x-intercepts as points:** $(-1,0)$ and $(3,0)$.
**Final answer:** The x-intercepts are $(-1,0)$ and $(3,0)$.