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:
[tex]x=1\\y=0[/tex]
We know that a function intersects the x-axis when [tex]y=0[/tex].
We can observe the table that represents the function g(x). When the value of "y" is 0 ([tex]g(x)=y=0[/tex]), the value of "x" is -1 ([tex]x=-1[/tex]). 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:
[tex]x=0\\y=-1[/tex]
We know that a function intersects the y-axis when [tex]x=0[/tex]. In the table that represents the function g(x), we can see that, when the value of "x" is 0 ([tex]x=0[/tex]), the value of "y" is 1 ([tex]g(x)=y=1[/tex]). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).
