Find the x- and y-intercepts of f.
-$$f ( x ) = 4 x ^ { 2 } ( x + 3 ) ^ { 3 }$$
A) $x$-intercepts: $0 , - 3$; y-intercept: 4
B) x-intercepts: $0 , - 3 ; y$-intercept: 0
C) $x$-intercepts: 0,3 ; y-intercept: 4
D) x-intercepts: 0,$3 ; y$-intercept: 0

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$. This gives $4x^2(x + 3)^3 = 0$, which has solutions at $x = 0$ and $x = -3$. For the y-intercept, set $x = 0$ in $f(x)$, which gives $f(0) = 4(0)^2(0 + 3)^3 = 0$.

Find the X- and Y-Intercepts of F f(x)=4x2(x+3)3f ( x ) = 4 x ^ { 2 } ( x + 3 ) ^ { 3 }f(x)=4x2(x+3)3

Find the X- and Y-Intercepts of F $f ( x ) = 4 x ^ { 2 } ( x + 3 ) ^ { 3 }$