The linear function f(x) passes through the points (0,1) and (2,7).A few values from the exponential function g(x) are shown in the table.x g(x)−1 1.52 123 24What is the positive difference in the y-intercept value of f(x) and g(x) ?Enter your answer in the box.
Accepted Solution
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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)=1Ordered pair values are the exponential function g(x) x : -1 2 3 g(x): 1.5 12 24Using exponential function [tex]y=ab^x[/tex][tex]g(x)=3(2)^x[/tex]For y-intercept, put x=0 g(0)=3We need to find the difference of y-intercept of f(x) and g(x) Difference = g(0)-f(x) = 3 - 1 = 2Thus, 2 is positive difference in the y-intercept value of f(x) and g(x).