Question

explain the similarities and differences between the graphs of a radical function and a logarithmic function.

Answer 1

differences
Range of radical function = [0, infinity)
Range of logarithmic function = (-infinity, infinity) and graph of logarithmic function has 1 vertical asymptote

Answer 2

Self made answer please. :(

Answer 3

Radical function:
domain=[0,infinity) , range=[0,infinity)
continuosly rising, slope is steep initially, then flattens out

Logarithmic:
domain=(0,infinity) , range=(-infinity,infinity)
vertical asymptote : x->0 ; y->-infinity ,
intersects the x-axis
continuosly rising, slope is steep initially, then flattens out