Subjects algebra

Y Intercept 4Bbd71

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Question: y intercept of $x(x-1)(x+4)$
1. **State the problem:** Find the $y$-intercept of the function $$y = x(x-1)(x+4)$$. 2. **Recall the rule for $y$-intercept:** The $y$-intercept occurs where $x=0$. To find it, substitute $x=0$ into the function. 3. **Substitute $x=0$:** $$y = 0(0-1)(0+4)$$ 4. **Simplify:** $$y = 0 \times (-1) \times 4 = 0$$ 5. **Conclusion:** The $y$-intercept is at the point $(0,0)$. This means the graph crosses the $y$-axis at the origin.