Answer:
The range is all numbers greater than or equal to -11
Step-by-step explanation:
To find the range, we first need to find the vertex. We can find the x value by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-6/2(3)
-6/6
-1
So the x value is -1 and we can find the y value by plugging that in.
f(x) = 3x^2 + 6x - 8
f(-1) = 3(-1)^2 + 6(-1) - 8
f(-1) = 3(1) - 6 - 8
f(-1) = 3 - 6 - 8
f(-1) = -11
And since it is a positive equation, we know that this is a minimum.
