Answer:
The graph in the attached figure
Step-by-step explanation:
we have
The solution of the inequality is the shaded area above the solid line of the equation of the parabola
The vertex of the parabola is the point (0,-1)
The parabola open downward (vertex is a maximum)
using a graphing tool
see the attached figure
To check the decay rate, we need to check the variation in y-axis.
Since our interval is
To compare the decay rates we need to check the variation on the y-axis of both functions.
Now, we calculate their ratio to find how they compare:
This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.