Answer
According to the graph the x-intercepts are: $(6,0)$ and $(-\frac{5}{2},0)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/dd32bce0-bff8-4b24-bd72-57374c5dbf18/result_image/1562856094.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000744Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=50f73ab33f162e5154403ffbda61c152c1e3efb70022b1ca50f8b8511a730b1f)
Work Step by Step
$f(x)=0$
$2x^2-7x-30=0~~$ ($a=2,b=-7,c=-30$):
$x=\frac{-(-7)±\sqrt {(-7)^2-4(2)(-30)}}{2(2)}=\frac{7±\sqrt {289}}{4}=\frac{7±17}{4}$
$x=6$ or $x=-\frac{10}{4}=-\frac{5}{2}$
x-intercepts: $(6,0)$ and $(-\frac{5}{2},0)$