Answer:
1
Step-by-step explanation:
The y-intercept of any function is the point where it crosses through the y-axis. Since the x-value for every point on the y-axis is 0, this means the y-intercept will have an x-coordinate of 0. For the linear function, f(x), the y-intercept is (0, 3).
We are missing some values of the exponential function. We have (-1, 2/3), (2, 18), and (3, 54).
We know it is exponential, which means we know that the y-value of each point is multiplied by a constant to get the next y-value. Comparing (2, 18) and (3, 54), we see that the y-values are multiplied by 3.
Working backward from this, we figure out that the y-value for the point with an x-coordinate of 1 will be 18/3 = 6.
The y-coordinate of the point with an x-coordinate of 0 will be 6/3 = 2.
This means the y-intercept of the function g(x) will be (0, 2).
This makes the difference between the y-intercepts 3-2 = 1.