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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}

Answer and Explanation:


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.


Learn more about this topic:

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How to Find and Apply the Intercepts of a Line

from ELM: CSU Math Study Guide

Chapter 15 / Lesson 5
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