Answer:
2 greater than or equal to-9
Step-by-step explanation:
since the graph has an equation of x²+2x-8
to find the value of x when y=0 find two numbers that if you multiply them together it will give you -8 and if you add them they will give you +2
+4x-2=-8
+4+(-2)=+2
so x²+2x-8=0
can be writteb as (x+4)(x-2)=0
so one time x+4=0 so x=-4
and one time x-2=0 so x=2
so x roots at -4 and 2
to find y when x=0
0²+2(0)-8=-8
so y root at -8
(shown in graph above)
the range is from minimum point to the maximum(down to up) for the y values
there is no maximum point so the graph goes to infinity
the minimum is the middle point between the two x roots so take an average of them
(-4+2)÷2=-1
so when x=-1
(-1)²+2(-1)-8=-9
so the minimum starts from -9 going up to infinity
so the answer is greater or equal to-9
