Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?

f(x) = 4x − 1

chart:
x g(x)
1 3
4 6
7 9

Answer Choices:
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

Answer:

Think of f(x) and g(x) as y

f(x) = 4x - 1.....the y int is -1

g(x) :
(1,3)(4,6)
slope = (6 - 3) / (4 - 1) = 3/3 = 1

y = mx + b...using (1,3)...slope(m)  = 1
3 = 1(1) + b
3 = 1 + b
3 - 1 = b
2 = b

y = x + 2.....the y int is 2

so g(x) has a higher y intercept

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