Answer:
2 is positive difference in the y-intercept value of f(x) and g(x).
Step-by-step explanation:
The linear function f(x) passes through the points (0,1) and (2,7)
Using two point formula of line find function f(x)
[tex]f(x)-1=\frac{7-1}{2-0}(x-0)[/tex]
[tex]f(x)=3x+1[/tex]
For y-intercept, put x=0
f(x)=1
Ordered pair values are the exponential function g(x)
x : -1 2 3
g(x): 1.5 12 24
Using exponential function [tex]y=ab^x[/tex]
[tex]g(x)=3(2)^x[/tex]
For y-intercept, put x=0
g(0)=3
We need to find the difference of y-intercept of f(x) and g(x)
Difference = g(0)-f(x) = 3 - 1 = 2
Thus, 2 is positive difference in the y-intercept value of f(x) and g(x).
