How to transform a straight line into a curve. Linear to convex/concave function. f(x)=mx+b

omgespit9q

omgespit9q

Answered question

2022-10-27

How to transform a straight line into a curve. Linear to convex/concave function.
f ( x ) = m x + b

Answer & Explanation

ohhappyday890b

ohhappyday890b

Beginner2022-10-28Added 12 answers

Let f ( x ) = some linear expression obtained by plotting the data pairs ( x 1 , y 1 ) , ( x 2 , y 2 ) on a horizontal x-axis and vertical y-axis.
Let the parameter m = the contour of the curve.
m = ( 0 , )
g ( x ) = { f ( x ) , if  m = 1 ( y 2 y 1 ) m x x 1 1 m x 2 x 1 1 + y 1 , if  m 1
when m = 1, curve is linear
when 0 < m < 1, curve is convex
when m > 1, curve is concave

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