Chapter 4.1, Problem 5AYU

True or False The $x\text{-intercepts}$ of the graph of a function $y=f\left(x\right)$ are the real solutions of the equation $f\left(x\right)=0$. (pp. 73-75)

To determine

To check: The $x\text{-intercept}$ of the graph of a function $y=f\left(x\right)$ is the real solutions of the equation $f\left(x\right)=0$.

Answer to Problem 5AYU

$\text{The }x\text{-intercept of the graph of a function }y=f\left(x\right)\text{ is the real solutions of the equation}$.

$f\left(x\right)=0 \text{is true}$.

Explanation of Solution

Given:

The expression $y=f\left(x\right)$.

The $x\text{-intercept}$ of the graph of a function $y=f\left(x\right)$ is the real solutions of the equation.

$f\left(x\right)=0$ is true.