Answer
According to the graph the x-intercepts are: $(3,0)$ and $(6,0)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/4d0da76a-775d-40b2-832e-9ca723f8a429/result_image/1562854493.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014320Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3da246cd32f76617f8e9b5f2447675e1da75f767914dce3c07861717b97cc3f6)
Work Step by Step
$f(x)=0$
$x^2-9x+18=0~~$ ($a=1,b=-9,c=18$):
$x=\frac{-(-9)±\sqrt {(-9)^2-4(1)(18)}}{2(1)}=\frac{9±\sqrt 9}{2}=\frac{9±3}{2}$
$x=6$ or $x=3$
x-intercepts: $(3,0)$ and $(6,0)$