Consider the quadratic function f(x)=−x^2+x+30
determine the following:
the smallest xx-intercept is x=
the largest xx-intercept is x=
the yy-intercept is y=

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.