Subjects algebra

Domain Range Parabola C2003F

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Domain Range Parabola C2003F


1. **Problem Statement:** Identify the domain and range of the given parabola graph. 2. **Graph Description:** The parabola opens upwards with vertex at the origin $(0,0)$. 3. **Domain:** The parabola extends infinitely left and right, so the domain is all real numbers. 4. **Range:** Since the vertex is at the lowest point and $y$ values increase upwards, the range is all $y$ such that $y \geq 0$. 5. **Summary:** - Domain: $$\text{all real numbers} = (-\infty, \infty)$$ - Range: $$y \geq 0 = [0, \infty)$$ This means you can input any real number for $x$, and the output $y$ will always be zero or positive.