In between two given functions, the y-intercept of g(x) is greater than the y-intercept of f(x).
What is the y-intercept of a function?
The y-intercept of a function is the point at which the graph cuts the Y-axis.
Given, the first function is f(x) = (1/5) |x - 15|.
Therefore, the y-intercept for the function f(x) is:
f(0) = (1/5) |0 - 15| = 15/5 = 3.
Now, the second function is g(x) = (x - 2)².
Therefore, the y-intercept for the function g(x) is:
g(0) = (0 - 2)² = 2² = 4.
Here, it is clear that the y-intercept of g(x) is greater than the y-intercept of f(x).
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