MathDB

Is there a continuous function

f: \mathbb {R} ^ {2} \rightarrow \mathbb {R}

for every

d \in \mathbb {R}

we have

g_{m,d}(x) = f (x, m x + d)

is strictly monotonic on

\mathbb {R}

m \ge 0,

and not monotone on any non-empty open interval if

m <0?

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