Find the x- and y-intercepts of f.
-$$f ( x ) = - x ^ { 2 } ( x + 6 ) \left( x ^ { 2 } - 1 \right)$$
A) x-intercepts: -6, 0, 1; y-intercept: -6
B) x-intercepts: -1, 0, 1, 6; y-intercept: 0
C) x-intercepts: -6, -1, 0, 1; y-intercept: 0
D) x-intercepts: -6, -1, 0, 1; y-intercept: -6

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$ and solve for $x$. The given function is $f(x) = -x^2(x + 6)(x^2 - 1)$. Setting this equal to zero, we find the roots are $x = 0$, $x = -6$, and $x^2 - 1 = 0$ which gives $x = 1$ and $x = -1$. Therefore, the x-intercepts are -6, -1, 0, and 1. To find the y-intercept, set $x = 0$ and solve for $f(x)$, which gives $f(0) = 0$. Hence, the y-intercept is 0.

Find the X- and Y-Intercepts of F f(x)=−x2(x+6)(x2−1)f ( x ) = - x ^ { 2 } ( x + 6 ) \left( x ^ { 2 } - 1 \right)f(x)=−x2(x+6)(x2−1)

Find the X- and Y-Intercepts of F $f ( x ) = - x ^ { 2 } ( x + 6 ) \left( x ^ { 2 } - 1 \right)$