Find the x- and y-intercepts of f.
-$$f ( x ) = 6 x - x ^ { 3 }$$
A) x-intercepts: $0 , \sqrt { 6 } , - \sqrt { 6 } ; y$-intercept: 0
B) x-intercepts: $0 , - 6 ; y$-intercept: 0
C) x-intercepts: $0 , - 6 ; y$-intercept: 6
D) $x$-intercepts: $0 , \sqrt { 6 } , - \sqrt { 6 } ; y$-intercept: 6

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$: $0 = 6x - x^3$. Factoring out $x$, we get $x(6 - x^2) = 0$, which gives $x = 0$, $x = \sqrt{6}$, and $x = -\sqrt{6}$. For the y-intercept, set $x = 0$: $f(0) = 6(0) - (0)^3 = 0$.

Find the X- and Y-Intercepts of F f(x)=6x−x3f ( x ) = 6 x - x ^ { 3 }f(x)=6x−x3

Find the X- and Y-Intercepts of F $f ( x ) = 6 x - x ^ { 3 }$