Answer: The function f(x) = || is the absolute value function of x, which is defined as f(x) = |x|. The graph of this function is a "V" shape, with the vertex at the origin (0,0) and the lines x = 0 and y = 0 as the asymptotes. The graph of f(x) starts at the origin and increases as x increases or decreases, but never reaches x-axis.
The function g(r) = (-1)|r| is the absolute value function of r, multiplied by -1. The effect of multiplying the function by -1 is to reflect the graph of f(x) across the x-axis. So the graph of g(r) will be a "V" shape, with the vertex at the origin, and the lines x = 0 and y = 0 as the asymptotes. The graph of g(r) starts at the origin and decreases as r increases or decreases, but never reaches x-axis.
In summary, the effect of the change on the graph of f(x) = || is that it will be reflected across the x-axis.
Explanation: