Answer:
g(x) has a greater slope
Step-by-step explanation:
step 1
Find the slope of f(x)
we have
[tex]f(x)=2x-5[/tex]
This is a linear function in slope intercept form
[tex]f(x)=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
[tex]m=2[/tex]
step 2
Find the slope of g(x)
take two points from the table
(2,0) and (4,5)
[tex]m=(5-0)/(4-2)\\m=5/2=2.5[/tex]
step 3
Compare the slopes
[tex]2.5 > 2[/tex]
so
The slope of g(x) is greater than the slope of f(x)
