Please make the image of functions F1 (x) = LG (- x), F2 = - lgx, F3 (x) = LG | x | and F4 (x) = LG | x | and observe the relationship between the image and f (x) = lgx image. Can you summarize the general rules and apply them to other function images? | Math enthusiast | Mathematical art

Please make the image of functions F1 (x) = LG (- x), F2 = - lgx, F3 (x) = LG | x | and F4 (x) = LG | x | and observe the relationship between the image and f (x) = lgx image. Can you summarize the general rules and apply them to other function images?

Suppose the original function is f (x)
The image with F (- x) is FX symmetric about y axis
-The image of FX is that FX is symmetrical about the X axis
The image of F absolute value x is the image of FX on the right side of Y axis, which is folded to the left
The absolute value FX image is the image of FX below the y-axis, folded to the top

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