ANSWER
The correct answers are option B and C
EXPLANATION
A linear function with slope [tex]m=1[/tex] and y - intercept [tex]0[/tex] has equation, [tex]f(x)=x[/tex]
Option A
[tex]f(-1)=-1[/tex]
[tex]g(-1)=(-1)^2=1[/tex]
Therefore [tex]f(-1) \ne g(-1)[/tex]
Option B
[tex]f(1)=1[/tex]
[tex]g(1)=(1)^2=1[/tex]
Therefore [tex]f(1) = g(1)[/tex]
Option C
[tex]f(0.5)=0.5[/tex]
[tex]g(0.5)=(0.5)^2=0.25[/tex]
Therefore [tex]f(x) > g(x)[/tex]
on [tex](0,1)[/tex] See graph also.
Option D
At y-intercept, [tex]x=0[/tex]
This implies that,
[tex]f(0)=0[/tex]
[tex]g(0)=(0)^2=0[/tex]
Therefore g(x) does not have a greater y-intercept.
