# What is the y-intercept, if any, of the function? f(x) = 10x^4 - 60x^2

## Question:

What is the y-intercept, if any, of the function?

{eq}f(x) = 10x^4 - 60x^2 {/eq}

Given data:

The value of the fourth-degree polynomial is:

{eq}y=f(x) = 10x^4 - 60x^2 {/eq}

Plugging {eq}x=0 {/eq} in the above algebraic expression and simplifying it for the variable {eq}y {/eq}, we get:

{eq}\begin{align*} \displaystyle y&= 10(0)^4 - 60(0)^2\\ &= 0 - 0\\ &=\boxed0 \end{align*} {/eq}

Thus, the value of {eq}y {/eq}-intercept for the given function is zero.