Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts?
(a) the function f(x) has a higher y-intercept.

(b) the function g(x) has a higher y-intercept.

(c) they both have the same y-intercept.

(d) the relationship between y-intercepts cannot be determined.

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

step-by-step explanation: