Question

Which statement is true?

Answer 1

A. The y-intercept of g(x) is less than the y-intercept fo f(x).

Explanation:

`\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}`

`g(x)=4√(x)-8\to y=4√(x)-8\\\\\text{x-intercept:}\\\text{put y = 0 to the equation of the function}\\\\4√(x)-8=0\qquad\text{add 8 to both sides}\\4√(x)=8\qquad\text{divide both sides by 4}\\√(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}`

Answer 2

Answer choice A.

Explanation:

The y-intercept is the -8 for the g(x) equation. The chart shows that when x=0, y=-4. This is the y-intercept for f(x). -8 is less than -4.