Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts? f(x) = 4x − 1
x g(x)
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answers:
athe function f(x) has a higher y-intercept.
b the function g(x) has a higher y-intercept.
cthey both have the same y-intercept.
d the relationship between y-intercepts cannot be determined.

we know that

The y-intercept is the value of the function when the value of x is equal to zero

Step

Find the y-intercept of f(x)

for

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

Step

Find the equation of the line g(x)

Let

Find the slope AB

the slope m is equal to

substitute the values

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

therefore

the function g(x) is equal to

Step

Find the y-intercept of g(x)

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.