Respuesta :
If you typed the equation correctly, n increasing causes the line y=x to become closer to being a vertical line by changing the slope.
Answer:
Step-by-step explanation:
Given is an exponential equation as
[tex]y=x^n[/tex]
where n is an even positive integer.
Because n is even positive we find that y(-x) = y(x)
Or the curve is symmetrical about x=0
When x lies between -1 and 1, y will be a decreasing function in (-1,0) attains minimum at origin and increases in the interval (0,1)
When n increases the spread becomes less.
This is because when symmetrical about y axis at 0, this attains minimum.
Whenever x >1, the curve continuously increases and for x<-1 the curve continuously decreases.