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

Answer: OPTION D.

Step-by-step 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).

Answer 2

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