Answer:
See attached image.
Step-by-step explanation:
If x=y, the (x,y) = (x,x) or (y,y). All points have the same x and y values.
The first thing to do is to get the graph. That's below. That is a very wicked looking graph. I'm not sure what happens at 0. I'm not sure it is continuous at 0. That's something to make a fuss over because x = 0 is one of the x intercepts.
y = - x^(2/5)(x(5/5) + 7).
y = - x^(2/5)(x + 7)
So one of the x intercepts is 0 and the other one is -7.
The reasons are known because the factors can be equated to 0. It does not look to me like there is exact symmetry. There is a local minimum however at what the graph says is (-2,-6.5 or so)
You could differentiate that to find the exact point, but you are not asked for that.
So the domain is from -∞ to zero and 0 to plus ∞ I think you have to exclude 0 even though it is an x intercept.
The graph decreases from -∞ < x < -2
It increases from -2 < x < 0
It decreases form 0< x < ∞
Given that variance of a data set is:
Variance=σ²
the standard deviation is the square root of the variance:
thus
standard deviation= √(variance)
variance,σ²=104.04
thus
std deviation=√σ²=√104.04
thus
σ=10.2