What is the y-intercept of the polynomial f(x) defined below? Write the y-value only.

f(x)=-x⁴-9x²-1

1 answer

The y-intercept of a polynomial is found by evaluating the function at \( x = 0 \).

For the polynomial \( f(x) = -x^4 - 9x^2 - 1 \):

\[ f(0) = -0^4 - 9 \cdot 0^2 - 1 = -1 \]

Therefore, the y-intercept is \(-1\).