Find the x- and y-intercepts of f.
-$$f ( x ) = ( x - 4 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)$$
A)x-intercepts: -5, 4, 5; y-intercept: -400
B)x-intercepts: -4, -25; y-intercept: 100
C)x-intercepts: -5, 4, 5; y-intercept: 400
D)x-intercepts: 4, 25; y-intercept: 100

Question

Quizplus · Accepted Answer

The x-intercepts are found by setting $f(x) = 0$. Factoring the given function, we get $(x - 4)^2(x + 5)(x - 5) = 0$, which gives x-intercepts at $x = 4, -5, $ and $5$. The y-intercept is found by setting $x = 0$, giving $f(0) = (0 - 4)^2(0^2 - 25) = 16(-25) = -400$.

Find the X- and Y-Intercepts of F f(x)=(x−4)2(x2−25)f ( x ) = ( x - 4 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)f(x)=(x−4)2(x2−25)

Find the X- and Y-Intercepts of F $f ( x ) = ( x - 4 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)$