Explain what happens to the graph of y = xn, where n is an even positive integer, as n increases. describe changes for x between – 1 and 1 and for x greater than 1 or less than – 1. explain why these changes happen.

Step-by-step explanation:

Given is an exponential equation as

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.

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step-by-step explanation: ; )