Subjects algebra

Function Zeros

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1. The problem asks for the zeros of the function, which are the x-values where the graph intersects the x-axis. 2. From the graph description, the parabola intersects the x-axis at approximately $x=0$ and $x=3$. 3. Zeros of a function are points where $y=0$, so these x-values are the solutions to $f(x)=0$. 4. Among the given options, the pair that matches these zeros is $x=0$ and $x=3$. 5. However, none of the options list $x=3$ and $x=0$ together except option A which lists $x=3$ and $x=-9$, but $-9$ is not a zero. 6. The closest correct zeros based on the graph are $x=0$ and $x=3$, but since $x=3$ is only in option A with $x=-9$, and $x=0$ is in options B, C, and D with other values, the best match is option B with $x=0$ and $x=6$ which is not correct. 7. Therefore, the zeros are $x=0$ and $x=3$ based on the graph, but none of the options exactly match this. Final answer: The zeros of the function are $x=0$ and $x=3$.