Answer:
A. The y-intercept of g(x) is less than the y-intercept fo f(x).
Step-by-step explanation:
[tex]\text{x-intercept is for y = 0}\to(x,\ 0)\\\\\text{y-intercept is for x = 0}\to(0,\ y)\\\\f(x):\\\\\text{From the table:}\\\\(0,\ -4)\to\text{y-intercept is -4}\\(16,\ 0)\to\text{x-intercept is 16}[/tex]
[tex]g(x)=4\sqrt{x}-8\to y=4\sqrt{x}-8\\\\\text{x-intercept:}\\\text{put y = 0 to the equation of the function}\\\\4\sqrt{x}-8=0\qquad\text{add 8 to both sides}\\4\sqrt{x}=8\qquad\text{divide both sides by 4}\\\sqrt{x}=2\to x=2^2\\x=4\leftarrow \text{x-intercept}\\\\\text{y-intercept:}\\\text{put x = 0 to the equation of the function}\\\\y=4\sqrt0-8\\y=0-8\\y=-8\leftarrow\text{y-intercept}[/tex]
