Find the y-intercept of the polynomial function.
-$$f ( x ) = ( x + 1 ) ( x - 5 ) ( x - 1 ) ^ { 2 }$$
A) $y$-axis symmetry
B) origin symmetry
C) neither

Question

Quizplus · Accepted Answer

The y-intercept of a polynomial function occurs when $x = 0$. Substituting $x = 0$ into the given function, $f(x) = (0 + 1)(0 - 5)(0 - 1)^2$, we find the y-intercept is a specific point, not a symmetry. Therefore, the function does not necessarily exhibit y-axis or origin symmetry based solely on its y-intercept.

Find the Y-Intercept of the Polynomial Function f(x)=(x+1)(x−5)(x−1)2f ( x ) = ( x + 1 ) ( x - 5 ) ( x - 1 ) ^ { 2 }f(x)=(x+1)(x−5)(x−1)2

Find the Y-Intercept of the Polynomial Function $f ( x ) = ( x + 1 ) ( x - 5 ) ( x - 1 ) ^ { 2 }$