What is the domain of the function shown in the graph below?

Domain: x<=8

Step-by-step explanation:

Domain is all the x's on a graph or all the x's that can go into an equation if you're given an equation. This graph only exists from x=8 and lower (to the left). x can be 8 and anything less than 8.

In set notation it looks like this:

{x | x<=8}

OR in interval notation:

(-infinitysymbol,8]

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)