Subjects algebra

Real Solutions B60885

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1. **Problem Statement:** Find all real solutions of the equation $f(x) = 0$ given the graph of $y = f(x)$. 2. **Understanding the problem:** The solutions to $f(x) = 0$ are the $x$-values where the graph crosses the $x$-axis. 3. **From the graph description:** The curve crosses the $x$-axis approximately at $x \approx -3.5$, $x \approx 0.5$, $x \approx 4.5$, and $x \approx 7.5$. 4. **Conclusion:** The real solutions to $f(x) = 0$ are approximately: $$x = -3.5, \quad x = 0.5, \quad x = 4.5, \quad x = 7.5$$ These are the points where the function changes sign and crosses the $x$-axis, indicating roots of the function. No algebraic formula is given, so the solutions are based on the graph's visual information.