How do you graph y=5sqrtx, compare it to the parent graph and what is the domain and range?

1 Answer
Feb 1, 2018

See details below

Explanation:

We know that y=5x^2 has the form graph{5x^2 [-5.06, 6.043, -1.09, 4.455]}
We know also that y=sqrtx is inverse of y=x^2. Hence both graphs are simmetric with respect to y=x graph{x [-8.71, 11.29, -2.53, 7.465]}
For those reasons y=5sqrtx has the following form graph{5x^0.5 [-23.7, 163.9, -15.86, 77.8]}
Note that the last graph has no trace under x axis
Dom y=5sqrtx is [0,prop) and Range is also [0,prop)