Question

What is the domain and range of `y =sqrt(4x-1)`?

Answer 1

Domain = `[1/4,oo)`.

Range = `[0,oo)`.

Explanation:

To find the x-intercept let `y=0` and solve for `x` to get `x=1/4`.

To find the y-intercept, let `x=0` to find that there is no real y-intercept.

Then draw the basic shape of the square root graph and deduce the domain (all possible allowed x-values as inputs) and the range (all possible allowed y-values as outputs).

graph{sqrt(4x-1) [-1.81, 10.68, -0.89, 5.353]}