Tyler Marshall
05/31/2024 · Senior High School
2. Reduce the following function. Then fill in the information. If somethin points total) \( f(x)=\frac{x^{3}-3 x^{2}-40 x}{x^{2}-14 x+48}=\frac{x^{2}+5 x}{x-6}=\frac{\left(x^{2}+5 x\right)}{x-6)}= \) (1 pt) reduced function: \( (1 \mathrm{pt}) \) hole(s): ( 0.5 pt\( ) x \)-intercept(s): ( 0.5 pt\( ) y \)-intercept: \( (0.5 \mathrm{pt}) \) vertical asymptote(s): ( 0.5 pt\( ) \) horizontal asymptote:
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1. Reduced function: \( f(x)=\frac{x^{2}+5x}{x-6} \)
2. Hole: \( x = 8 \)
3. \( x \)-intercepts: \( x = 0 \) and \( x = -5 \)
4. \( y \)-intercept: \( y = 0 \)
5. Vertical asymptote: \( x = 6 \)
6. Horizontal asymptote: None
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