Question 1034609
you might want to look at a few points to see what's happening.


the equation is y = x^.25.


this is the same as y = fourth root of x.


this can also be written as y = x^(1/4).


let's look at x = 1,2,3,4.


when x = 1, y = 1
when x = 2, y = 1.1892071
when x = 3, y = 1.316074
when x = 4, y = 1.4142136


the slope between x = 1 and x = 2 is equal to (1.1892071) / 1 = .1892071.


the slope between x = 2 and x = 3 is equal to (1.316074 - 1.1892071) / 1 = .13268669.


the slope between x = 3 and x = 4 is equal to (1.4142136 - 1.316074) / 1 = .0981396.


looks like the slope is greater than zero and it is decreasing.


the graph of y = x^.25 is shown below:


you can see that the curve of the line rises less quickly as the value of x increases.


{{{graph(400,400,-10,10,-5,5,x^(.25))}}}