Find the x- and y-intercepts of f.
-$$f ( x ) = 2 x ^ { 4 } ( x - 5 ) ^ { 5 }$$
A) x-intercepts: 0, -5; y-intercept: 2
B) x-intercepts: 0, 5; y-intercept: 2
C) x-intercepts: 0, -5; y-intercept: 0
D) x-intercepts: 0, 5; y-intercept: 0

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$. This gives $2x^4(x - 5)^5 = 0$, which has solutions at $x = 0$ and $x = 5$. For the y-intercept, set $x = 0$ in $f(x)$, which gives $f(0) = 2(0)^4(0 - 5)^5 = 0$.

Find the X- and Y-Intercepts of F f(x)=2x4(x−5)5f ( x ) = 2 x ^ { 4 } ( x - 5 ) ^ { 5 }f(x)=2x4(x−5)5

Find the X- and Y-Intercepts of F $f ( x ) = 2 x ^ { 4 } ( x - 5 ) ^ { 5 }$