Question

what is the y-intercept of the polynomial $f(x)$ defined below? write the y-value only. $f(x) = -4x^2 - 2x^6 - x^5 - 7x^4$

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a function $f(x)$ is the value of $f(x)$ when $x=0$.

Step2: Substitute $x=0$ into $f(x)$

$$\begin{align*} f(0)&=-4(0)^2 - 2(0)^6 - (0)^5 - 7(0)^4\\ &=0 - 0 - 0 - 0 \end{align*}$$

Answer:

0