we have that

In the table
Let

Step

Find the equation of the line of g(x)
Find the slope AB
slope m is equal to



with the slope m and the point
find the equation of the line





Step

Find the y-intercept of f(x) and g(x)
we know that
the y-intercept is the value of the y-coordinate when the value of x is equal to zero

for



the y-intercept of f(x) is equal to


for



the y-intercept of g(x) is equal to

therefore
the answer is the option
(B) The function g(x) has a higher y-intercept