Answer and Explanation:
Given : The quadratic function

To find : Determine the following ?
Solution :
The x -intercept are where f(x)=0,
So,

Applying middle term split,




The x-intercepts are (6,0) and (-5,0).
The smallest x-intercept is x=-5
The largest x-intercept is x=6
The y -intercept are where x=0,
So,


The y-intercept is y=30.