Find the x- and y-intercepts of f.
-$f ( x ) = - x ^ { 2 } ( x + 5 ) \left( x ^ { 2 } - 1 \right)$
A) x-intercepts: -5, -1, 0, 1; y-intercept: 0
B) x-intercepts: -5, 0, 1; y-intercept: -5
C) x-intercepts: -1, 0, 1, 5; y-intercept: 0
D) x-intercepts: -5, -1, 0, 1; y-intercept: -5

Question

Quizplus · Accepted Answer

The x-intercepts are found by setting $f(x) = 0$, which gives us the solutions $x = -5, -1, 0, 1$ from the factors $-x^2, (x+5), (x^2-1)$. The y-intercept is found by setting $x = 0$, which gives $f(0) = 0$, indicating the y-intercept is at 0.

Find the X- and Y-Intercepts of F f(x)=−x2(x+5)(x2−1)f ( x ) = - x ^ { 2 } ( x + 5 ) \left( x ^ { 2 } - 1 \right)f(x)=−x2(x+5)(x2−1)

Find the X- and Y-Intercepts of F $f ( x ) = - x ^ { 2 } ( x + 5 ) \left( x ^ { 2 } - 1 \right)$