Find the y-intercept of the polynomial function.
-$$f ( x ) = ( x - 4 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)$$
A) origin symmetry
B) $y$-axis symmetry
C) neither

Question

Quizplus · Accepted Answer

The y-intercept of a polynomial function is found by evaluating the function at $x = 0$. For $f(x) = (x - 4)^2(x^2 - 25)$, substituting $x = 0$ gives $f(0) = (-4)^2(-25) = 16(-25) = -400$, which is a specific point on the y-axis, not related to symmetry. The question about symmetry is a separate consideration, and this polynomial does not exhibit symmetry about the y-axis or origin because it is not an even or odd function.

Find the Y-Intercept of the Polynomial Function 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 Y-Intercept of the Polynomial Function $f ( x ) = ( x - 4 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)$