1. **Problem Statement:**
Find the intercepts of the function $f$ given the graph points: $(-4,0)$, $(-2,-1)$, $(0,1)$, $(2,-1)$, $(4,0)$.
2. **Definition of Intercepts:**
- **x-intercepts** are points where the graph crosses the x-axis, i.e., where $y=0$.
- **y-intercept** is the point where the graph crosses the y-axis, i.e., where $x=0$.
3. **Finding x-intercepts:**
From the points given, the graph crosses the x-axis at points where $y=0$:
- At $x=-4$, $y=0$ so $(-4,0)$ is an x-intercept.
- At $x=4$, $y=0$ so $(4,0)$ is an x-intercept.
4. **Finding y-intercept:**
From the points given, the graph crosses the y-axis at $x=0$:
- At $x=0$, $y=1$ so $(0,1)$ is the y-intercept.
5. **Final answer:**
- x-intercepts: $(-4,0)$ and $(4,0)$
- y-intercept: $(0,1)$
Function Intercepts 54Fc37
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.