Subjects algebra

Function Intercepts 54Fc37

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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: $(0,1)$