Question

The graph below represents the function of f(x), and the table below represents the function g(x). which statement is true?

Answer 1

I think the answer might be D.
I’m sorry if this is wrong.

Answer 2

Answer: OPTION D.

Explanation:

You can observe in the graph that represents f(x) that this function intersects the x-axis at the point (1,0). Then:

`x=1\\y=0`

We know that a function intersects the x-axis when
`y=0`.

We can observe the table that represents the function g(x). When the value of "y" is 0 (
`g(x)=y=0`), the value of "x" is -1 (
`x=-1`). Therefore, the x-intercept of f(x) is greater that the x-intercept of g(x).

You can observe in the graph that represents f(x) that this function intersects the y-axis at the point (0,-1). Then:

`x=0\\y=-1`

We know that a function intersects the y-axis when
`x=0`. In the table that represents the function g(x), we can see that, when the value of "x" is 0 (
`x=0`), the value of "y" is 1 (
`g(x)=y=1`). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).