Find the x- and y-intercepts of f.
-$$f ( x ) = - x ^ { 2 } ( x + 4 ) \left( x ^ { 2 } + 1 \right)$$
A) $x$-intercepts: $- 4 , - 1,0,1$; y-intercept: 0
B) $x$-intercepts: $- 4,0 ; y$-intercept: 0
C) $x$-intercepts: $- 4 , - 1,0$; y-intercept: 4
D) $x$-intercepts: $- 4 , - 1,0$; y-intercept: $- 4$

Question

Quizplus · Accepted Answer

The x-intercepts are found by setting $f(x) = 0$, which gives the solutions $x = -4$ and $x = 0$ (since $x^2 + 1$ cannot be zero). The y-intercept is found by setting $x = 0$, which gives $f(0) = 0$.

Find the X- and Y-Intercepts of F f(x)=−x2(x+4)(x2+1)f ( x ) = - x ^ { 2 } ( x + 4 ) \left( x ^ { 2 } + 1 \right)f(x)=−x2(x+4)(x2+1)

Find the X- and Y-Intercepts of F $f ( x ) = - x ^ { 2 } ( x + 4 ) \left( x ^ { 2 } + 1 \right)$