Given a general absolute value function y = |mx+n|, with m,n unequal 0. We studied in class that, conditioning on x, y can be written as a pair of two linear functions. For what value of m are there two linear functions perpendicular to one another?
1. Given a general absolute value function y = |mx+n|, with m,n unequal 0. We studied in class that, conditioning on x, y can be written as a pair of two linear functions. For what value of m are there two linear functions perpendicular to one another?
finding the value of m for which there are two linear functions perpendicular to each other when considering the absolute value function
y = |mx + n|, we need to consider the slopes of these linear functions.
The absolute value function |mx + n| can be broken down into two linear functions when we consider different intervals for x. Specifically, there will be a point where mx + n = 0, which is the "corner point" of the absolute value function. At this point, the function changes direction.
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