Answer: x < 0 Interval Notation: (-∞, 0)
Step-by-step explanation:
This is a parabola. The left side of the parabola has a negative rate of change and the right side of the parabola has a positive rate of change.
So it will have a negative rate of change for all x-values less than the Axis of Symmetry.
h(x) = x² + 0x - 1
a=1 b=0 c=-1
[tex]AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(0)}{2(1)}\quad =0\qquad \rightarrow \quad x=0[/tex]
It has a negative rate of change when x is less than 0
