Question

due wednesday by 11:59pm points 100 submitting an external tool which are intercepts (either x - or y -) of the function $\frac{(x + 2)(x - 4)}{(x + 4)(x - 5)(x + 1)}$? select all that apply. select all that apply: (-4,0) (-2,0) (0,-$\frac{2}{5}$) (0,$\frac{2}{5}$) (-1,0) (4,0)

Explanation:

Step1: Find x - intercepts

Set the numerator equal to 0: $(x + 2)(x - 4)=0$. Then $x+2 = 0$ gives $x=-2$ and $x - 4=0$ gives $x = 4$. So the x - intercepts are $(-2,0)$ and $(4,0)$.

Step2: Find y - intercepts

Set $x = 0$ in the function $y=\frac{(0 + 2)(0 - 4)}{(0+4)(0 - 5)(0 + 1)}=\frac{2\times(-4)}{4\times(-5)\times1}=\frac{-8}{-20}=\frac{2}{5}$. So the y - intercept is $(0,\frac{2}{5})$.

Answer:

B. $(-2,0)$
D. $(0,\frac{2}{5})$
G. $(4,0)$