which are intercepts (either x - or y -) of the function $\frac{(x - 6)(x + 1)}{(x - 1)(x + 3)(x + 6)}$…

which are intercepts (either x - or y -) of the function $\frac{(x - 6)(x + 1)}{(x - 1)(x + 3)(x + 6)}$? select all that apply. select all that apply: (-6,0) (-1,0) (0, $\frac{1}{3}$) (0,6) (1,0)

which are intercepts (either x - or y -) of the function $\frac{(x - 6)(x + 1)}{(x - 1)(x + 3)(x + 6)}$? select all that apply. select all that apply: (-6,0) (-1,0) (0, $\frac{1}{3}$) (0,6) (1,0)

Answer

Explanation:

Step1: Find x - intercepts

Set the numerator equal to 0: $(x - 6)(x + 1)=0$. Then $x-6 = 0$ gives $x = 6$ and $x+1=0$ gives $x=-1$. So the x - intercepts are $(-1,0)$ and $(6,0)$.

Step2: Find y - intercept

Set $x = 0$ in the function $y=\frac{(x - 6)(x + 1)}{(x - 1)(x + 3)(x + 6)}$. Then $y=\frac{(0 - 6)(0 + 1)}{(0 - 1)(0 + 3)(0 + 6)}=\frac{-6\times1}{(-1)\times3\times6}=\frac{1}{3}$. So the y - intercept is $(0,\frac{1}{3})$.

Answer:

B. $(-1,0)$ C. $(0,\frac{1}{3})$