Subjects algebra

Function Zero 8547F9

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Question: Find the zero of the function please
1. **State the problem:** We need to find the zero of the function $$y = \frac{1}{2}x + 1$$. The zero of a function is the value of $$x$$ when $$y = 0$$. 2. **Set the function equal to zero:** $$0 = \frac{1}{2}x + 1$$ 3. **Solve for $$x$$:** Subtract 1 from both sides: $$0 - 1 = \frac{1}{2}x + 1 - 1$$ $$-1 = \frac{1}{2}x$$ 4. **Isolate $$x$$ by dividing both sides by $$\frac{1}{2}$$:** $$x = \frac{-1}{\frac{1}{2}}$$ Show the division step with cancellation: $$x = -1 \times \frac{\cancel{2}}{\cancel{1}} = -2$$ 5. **Conclusion:** The zero of the function is at $$x = -2$$, meaning the graph crosses the x-axis at $$(-2, 0)$$. **Final answer:** $$x = -2$$
(-2,0)