To find the positive difference between the y-intercepts of f(x) and g(x), we determine the intercepts from the functions as 3 for f(x) and 2 for g(x) respectively. The absolute value of the difference |3 - 2| gives us the positive difference, which is 1.
To find the positive difference in the y-intercept values of the functions f(x) and g(x), we first identify these intercepts. For f(x) = 2x + 3, the y-intercept is the value of f(x) when x = 0, which is already given as 3. This can also be seen from the equation of the line, where the constant term represents the y-intercept.
For g(x) = 2 · 3x, the y-intercept is the value of g(x) when x = 0. Looking at the function, we substitute x with 0, which yields g(0) = 2 · 30 = 2 · 1 = 2. The y-intercept for g(x) is thus 2.
The positive difference between the y-intercepts of f(x) and g(x) is calculated by taking the absolute value of their difference: |3 - 2|, which is 1.
the complete Question is given below:
f(x)=2x+3
g(x)=2*3^x
The linear function f(x) passes through the points (0,3) and (2,7).
A few values from the exponential function g(x) are shown in the table.
x | gx
-1 | 2/3
2 | 18
3 | 54
What is the positive difference in the y-intercept value of f(x) and g(x)?